1. Introduction
The question of ‘nature vs nurture’ in determining the evolution of galaxies over cosmic time is an outstanding issue in astrophysics. Nature refers to processes that are inherent to a galaxy, for example, internal processes such as radial migration, gravitational instabilities, as well as energetic feedback from massive stars and supermassive black holes. Nurture instead refers to the importance of environment in shaping galaxy properties, typically through interactions with other galaxies or their host halo. Disentangling the influence of these competing internal (nature) and external (nurture) mechanisms has proven extremely difficult, requiring detailed measurements of galaxies’ internal properties (e.g. stellar and gas kinematics, chemical abundances, and star-formation histories) across a broad range of environments and lookback times (see, e.g., Naab & Ostriker Reference Naab and Ostriker2017, for a review of current theoretical challenges in galaxy formation).
In the nearby Universe, galaxy properties are known to correlate strongly with the properties of their host environments. The most obvious example of this correlation is in terms of galaxy morphology, where visually classified early-type galaxies are preferentially found in high-density regions (i.e. the morphology–density relation, Dressler 1980; Deeley et al. Reference Deeley2017). It has also been shown that galaxies in dense environments are redder (i.e. older and/or more metal-rich), more concentrated, more massive, have depleted star-formation rates, and lower angular momentum on average than galaxies in the field (e.g. Kauffmann et al. Reference Kauffmann, White, Heckman, Ménard, Brinchmann, Charlot, Tremonti and Brinkmann2004; Blanton et al. Reference Blanton, Eisenstein, Hogg, Schlegel and Brinkmann2005; Cooper et al. Reference Cooper2006; Skibba et al. Reference Skibba2009; Davies et al. Reference Davies2019). Residual stellar populations trends with environment were shown to persist even when accounting for stellar mass (Liu et al. Reference Liu2016; Scott et al. Reference Scott2017).
The extent to which these correlations represent systematic differences in intrinsic galaxy properties, or are instead a reflection of the processes acting within high-density environments, remains unclear. Peng et al. (Reference Peng2010) argued that stellar mass is the primary driver of galaxy colour in massive galaxies regardless of their host environment at $z\approx0$ , with environmental processes only becoming relevant at lower stellar masses. While ‘semi-analytic’ models suggest that there should be a correlation between the formation histories of galaxies and their host dark matter haloes (e.g. Kauffmann Reference Kauffmann1995; De Lucia et al. Reference De Lucia, Springel, White, Croton and Kauffmann2006), such signatures remain confused in observational data (see, e.g., Thomas et al. Reference Thomas, Maraston, Bender and Mendes de Oliveira2005; Reference Thomas, Maraston, Schawinski, Sarzi and Silk2010; Cooper et al. Reference Cooper2010; Brough et al. Reference Brough2013; Davies et al. Reference Davies2019). Nevertheless, there is clear evidence that numerous physical processes can and do affect galaxy evolution inside group and cluster environments (see the review of Boselli & Gavazzi Reference Boselli and Gavazzi2006), including interactions between galaxies and the intra-cluster medium (e.g. ram-pressure and viscous stripping, e.g. van der Wel et al. Reference van der Wel, Bell, Holden, Skibba and Rix2010), galaxy–galaxy mergers (Oh et al. Reference Oh2018, Reference Oh2019), and flybys (so-called ‘harassment’, e.g. Robotham et al. Reference Robotham2014; Davies et al. Reference Davies2015).
Ultimately, the variety of timescales over which internal vs external processes are expected to act complicates the interpretation of observations at a single (recent) epoch and motivates the incorporation of higher redshift data to break the degeneracy between different evolutionary pathways. Initial investigations of galaxy morphology at $z \gtrsim 1$ using optical Hubble Space Telescope imaging revealed an abundance of clumpy and irregular morphologies typically associated with gas-rich mergers (e.g. Driver et al. Reference Driver, Windhorst, Ostrander, Keel, Griffiths and Ratnatunga1995a; Driver, Windhorst, & Griffiths Reference Driver, Windhorst and Griffiths1995b; Glazebrook et al. Reference Glazebrook, Ellis, Santiago and Griffiths1995; Baugh, Cole, & Frenk Reference Baugh, Cole and Frenk1996). However, subsequent multi-wavelength observations have demonstrated that the overall picture of galaxy evolution since $z \sim 1-3$ is complex. Despite their disturbed appearance at optical wavelengths (rest-frame ultraviolet), studies based on deep near-infrared imaging have shown that normal star-forming galaxies at nearly every epoch have light profiles that are well described by an exponential disk (Wuyts et al. Reference Wuyts2011). This apparent regularity in structure is supported by resolved studies of ionised gas kinematics at $z \gtrsim 1$ , which show that the majority of galaxies are consistent with marginally stable disks and short dynamical times (Wisnioski et al. Reference Wisnioski2015; Stott et al. Reference Stott2016; Förster Schreiber et al. Reference Förster Schreiber2018; Übler et al. Reference Übler2019), albeit significantly truncated in size when compared to local discs (Trujillo & Pohlen Reference Trujillo and Pohlen2005; van der Wel et al. Reference van der Wel2014).
Extending lookback studies to include stellar properties—in particular resolved kinematics—is more difficult on account of the stellar body being significantly fainter. Nevertheless, significant progress has been made through a combination of deep long-slit observations and targeted follow-up of lensed high-redshift sources, which suggest that the rotational support prevalent among star-forming galaxies at $2 < z < 3$ persists even as their star formation is ultimately quenched (e.g. Toft et al. Reference Toft2017; Newman et al. Reference Newman, Belli, Ellis and Patel2018). Even at $z\approx0.8$ , the degree of rotational support observed in massive quiescent galaxies is a factor of $\,\sim$ 2 higher than at $z=0$ (e.g. Bezanson et al. Reference Bezanson2018).
That significant kinematic evolution is inferred at $z < 1$ should not be surprising: even though the merger rate decreases significantly with decreasing redshift (e.g. Conselice Reference Conselice2014; Robotham et al. Reference Robotham2014; López-Sanjuan et al. Reference López-Sanjuan2015; Mundy et al. Reference Mundy, Conselice, Duncan and Almaini2017), the reduced rate of cosmological accretion and corresponding reduction in gas available for star formation mean that galaxies have less chance to ‘recover’ angular momentum following a merger event (Penoyre et al. Reference Penoyre, Moster, Sijacki and Genel2017; Lagos et al. Reference Schaye, Bahé, Van de Sande, Kay, Barnes, Davis and Dalla Vecchia2018b). Repeated gas–poor interactions therefore provide an efficient (albeit not exclusive) mechanism to drive kinematic and morphological transformation of the galaxy population; however, understanding when and where such transformations take place requires tracking the detailed kinematic properties of both gas and stars over significant stretches of cosmic time.
Local Integral Field Spectroscopy (IFS) studies to date have made extensive use of the stellar spin parameter to kinematically classify galaxies. This spin parameter is an observational proxy of the intrinsic spin of galaxies first suggested by Emsellem et al. (Reference Emsellem2007), and defined as:
where V, $\sigma$ , and R are the normalised recession velocity, velocity dispersion, and circularised galactocentric radius at a given projected position. As a simple probe of the overall dynamical state of a galaxy, $\lambda_{r}$ is a popular diagnostic parameter that is readily derived from spatially resolved spectroscopy.
One key finding of local IFS studies is that galaxies can be divided into two main dynamical families according to their position in $\lambda_{r_e}-\epsilon$ space, where $\lambda_{r_e}$ is $\lambda_{r}$ measured at the effective (half-light) radius, $r_{e}$ , and $\epsilon$ is the projected ellipticity. Two dynamical classes separate in spin for a given projected ellipticity: fast rotators (high $\lambda_{r_e}$ ) and slow rotators (low $\lambda_{r_e}$ ). The division between these two common classes continues to be nuanced (Emsellem et al. Reference Emsellem2007, Reference Emsellem2011; Cappellari Reference Cappellari2016; Graham et al. Reference Graham2018; van de Sande et al. Reference van de Sande2020). The origin of this possible bimodality is still unclear, with theoretical simulations and detailed observational studies finding multiple possible formation pathways for the rarer slow-rotator population (e.g. Khochfar et al. Reference Khochfar2011; Penoyre et al. Reference Penoyre, Moster, Sijacki and Genel2017; Lagos et al. Reference Schaye, Bahé, Van de Sande, Kay, Barnes, Davis and Dalla Vecchia2018b; Schulze et al. Reference Schulze, Remus, Dolag, Burkert and Emsellem2018; Krajnović et al. Reference Krajnović2020; Walo-Martín et al. Reference Walo-Martín, Falcón-Barroso, Dalla Vecchia, Pérez and Negri2020, also see Figure 1).
To dissect the evolutionary pathways that transformed the primarily disky/irregular systems at high redshift into today’s rich morphological mix of galaxies, it is essential to measure both the stars and ionised gas simultaneously in a range of environments. Because such IFS observations are time intensive, available data so far have been limited to small samples or lower-resolution slit spectra along specific position angles (e.g. Moran et al. Reference Moran, Ellis, Treu, Smith, Rich and Smail2007; van der Marel & van Dokkum Reference van der Marel and van Dokkum2007; van der Wel & van der Marel Reference van der Wel and van der Marel2008; van der Wel et al. Reference van der Wel2016)—providing limited constraints for detailed theoretical models of galaxy evolution. Guérou et al. (Reference Guérou2017) simultaneously study IFS stellar and ionised gas kinematics in a limited sample of 17 galaxies beyond the redshifts already probed by local studies (i.e. $z>0.15$ ). IFS is the only technology that allows for stellar and gas phase properties to be fully and simultaneously mapped. The absence of a substantial IFS dataset targeting the stellar properties of galaxies beyond $z\sim0.15$ ; and until recently, ionised gas IFS data between $0.15<z<0.70$ (Carton et al. Reference Carton2018; Tiley et al. Reference Tiley2020; Vaughan et al. Reference Vaughan2020, see Figure 2); greatly limited our understanding of galaxy evolution during the Universe’s middle ages when morphology, angular momentum and star-formation activity evolve rapidly, with environment playing a key role (see Figure 1 and e.g. Peng et al. Reference Peng2010; Papovich et al. Reference Papovich2018; Choi et al. Reference Choi, Yi, Dubois, Kimm, Devriendt and Pichon2018).
This paper presents the Middle Ages Galaxy Properties with IFS (MAGPI) survey. It is divided as follows: in Section 2, we describe the survey and science goals. The sample description, survey design, observing strategy, and data handling can be found in Section 3. Section 4 showcases early observational and theoretical results, while a brief summary can be found in Section 5.
For observational results and unless otherwise stated, we assume a $\Lambda$ CDM cosmology with $\Omega_{\mathrm{m}}=0.3$ , $\Omega_{\lambda}$ $=$ $0.7$ and $H_0=70\ \mathrm{km\ s}^{-1}\ \mathrm{Mpc}^{-1}$ . We use AB magnitudes throughout (Oke & Gunn Reference Oke and Gunn1983), and stellar masses have been derived assuming a Chabrier (Reference Chabrier2003) stellar initial mass function.
2. The MAGPI survey and science goals
Until now, there has not been a dedicated observational campaign that can spatially map stellar and ionised gas properties of galaxies beyond 2 Gyr lookback time, as is necessary to disentangle the role of various physical processes in shaping galaxies (see Figure 2). Aiming to close the important gap in IFS gas studies and double the evolutionary window of local IFS studies of stars, we present the MAGPI survey, a VLT/Multi-Unit Spectroscopic Explorer (MUSE) Large Program (Program ID: 1104.B-0536) that is currently gathering observations of resolved gas and stars at $z=0.25-0.35$ in 60 ‘primary target’ galaxies ( $M_\ast > 7\times10^{10} {\mathrm{M}}_\odot$ ) and their ${\sim}$ 100 satellites in a range of environments, including isolated galaxies. The sample is achieved through dedicated $56\times4$ h on-source observations with Ground Layer Adaptive Optics (GLAO) on VLT/MUSE ( $1\times1$ arcmin field-of-view), in combination with two legacy archive fields Abell 370 and Abell 2477 (see Table A.1 and Figure B.1). The survey is designed to reveal the physical processes responsible for the rapid transformation of galaxies at the relatively unexplored intermediate redshift regime.
MAGPI is led through a distributed leadership model (Pilkiene et al. Reference Pilkiene, Alonderiene, Chmieliauskas, Simkonis and Muller2018) with a leadership team currently composed of four equal Principal Investigators (PIs): Foster, Lagos, Mendel, and Wisnioski (in alphabetical order). All PIs contribute to the management and leadership of the survey. Major decisions are made by consensus through discussion. Team members are encouraged to contribute to the survey management and effort through four working groups: the Master Catalogue, Emission Lines, Absorption Lines, and Theory Working Groups. General information about the survey, including how to contact or join the MAGPI team, can be found on the survey website: https://magpisurvey.org.
MAGPI will map the detailed properties of the stars and ionised gas for galaxies in a range of halo masses ( $M_{\rm halo}$ ) with lookback time of 3–4 Gyr. The main goal of MAGPI is to reveal and understand the physical processes responsible for the rapid transformation of galaxies at intermediate redshifts by:
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detecting the impact of environment (Section 2.1);
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understanding the role of gas accretion and merging (Section 2.2);
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determining energy sources and feedback activity (Section 2.3);
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tracing the metal mixing history of galaxies (Section 2.4); and
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producing a comparison-ready theoretical dataset (Section 2.5).
In addition to the main science cases, MAGPI will enable serendipitous higher redshift emission-line (e.g., [OII] emitters at $0.35 < z < 1.50$ , Herenz et al. Reference Herenz2017) and Lyman- $\alpha$ emitter ( $2.9 <z< 6.0$ , Herenz et al. Reference Herenz2019) science.
2.1. Detecting the impact of environment
To resolve the role of external processes (i.e. nurture) in transforming galaxies, MAGPI will explore the effect of local vs large-scale environmental density at a key epoch. Simulations (e.g. Penoyre et al. Reference Penoyre, Moster, Sijacki and Genel2017; Lagos et al. Reference Schaye, Bahé, Van de Sande, Kay, Barnes, Davis and Dalla Vecchia2018b) suggest that large-scale environmental trends should be more pronounced at intermediate redshifts, where environment is predicted to play a more active role in galaxy formation. Figure 1 shows the $\lambda_r$ distributions as a function of cosmic time for a randomly selected sample of 60 massive galaxies (stellar masses ${\ge}10^{10.8}\,\mathrm{M}_{\odot}$ ) at each epoch (left) and split into environment bins (right) of 20 massive galaxies each for three different cosmological simulations, EAGLE, Magneticum, and HorizonAGN, each showing very different evolutionary patterns at these redshifts (see Section 4.2 for details).
The spatial resolution, data quality, and availability of panchromatic ancillary data allow for a detailed, quantitative comparison between MAGPI and both local observations and simulations. By targeting galaxies at the critical epoch during which the impact of evolutionary processes on galaxy dynamics is likely maximised, MAGPI data give us the best opportunity to identify external formation pathways for massive central galaxies and their satellites in different environments.
2.2. Understanding the role of gas accretion and merging
Repeated dynamical interactions can qualitatively reproduce the observed differences in morphology and $\lambda_{\rm r}$ required to turn present-day spirals into early-type galaxies (Bekki & Couch Reference Bekki and Couch2011). Accretion of gas from either gas-rich mergers or external accretion can lead to the (re-)formation of a disc, destruction of spiral arms, and overall spin-up of the system (e.g. Dubois et al. Reference Dubois, Peirani, Pichon, Devriendt, Gavazzi, Welker and Volonteri2016; Sparre & Springel Reference Sparre and Springel2017; Lagos et al. 2018a). The frequency and impact of both processes are known to evolve over cosmic time (Rodriguez-Gomez et al. Reference Rodriguez-Gomez2015; Wright et al. Reference Wright, Lagos, Power and Mitchell2020). Some theoretical studies suggest that gas-poor mergers are one of the main drivers in producing the slowly rotating galaxies we observe today (Naab et al. Reference Naab2014; Schulze et al. Reference Schulze, Remus, Dolag, Burkert and Emsellem2018, Lagos et al. 2018a, but see, e.g., Kobayashi Reference Kobayashi2004; Cox et al. Reference Cox, Dutta, Di Matteo, Hernquist, Hopkins, Robertson and Springel2006; Taranu, Dubinski, & Yee Reference Taranu, Dubinski and Yee2013; Penoyre et al. Reference Penoyre, Moster, Sijacki and Genel2017), and because their frequency is expected to increase at $z<1$ (Lagos et al. 2018a), we expect the last few billion years to be critical in building the diversity observed in galaxies in the local Universe.
The epoch of $0\le z\le 1$ is also known as the ‘disc settling’ epoch where galaxies that continue to accrete gas and form stars can efficiently build up their specific angular momentum (Kassin et al. Reference Kassin2012; Simons et al. Reference Simons2017; Lagos et al. Reference Lagos, Theuns, Stevens, Cortese, Padilla, Davis, Contreras and Croton2017; Ma et al. Reference Ma, Hopkins, Feldmann, Torrey, Faucher-Giguère and Kereš2017; Wisnioski et al. Reference Wisnioski2019). This is a natural result from hierarchical cosmologies, in which the specific angular momentum of the accreted gas is expected to increase with time (Catelan & Theuns Reference Catelan and Theuns1996; Teklu et al. Reference Teklu, Remus, Dolag, Beck, Burkert, Schmidt, Schulze and Steinborn2015; El-Badry et al. Reference El-Badry2018). The latter implies that the later the accretion and star formation, the more likely the galaxy will have a high spin at the present day. Quantifying the interplay between mergers and gas accretion, when both processes are thought to be significant, is critical to understanding morphological and chemical transformations.
With MAGPI and existing low-redshift IFS surveys, we will establish the evolution of the role of mergers and gas accretion in transforming galaxies across halo mass and the evolution of such processes over the last 4 Gyr.
2.3. Determining energy sources and feedback activity
Stars and active galactic nuclei (AGN) are the main energy sources that produce the spectral energy distribution and emission lines of galaxies (see Kewley, Nicholls, & Sutherland Reference Kewley, Nicholls and Sutherland2019, for a recent review). The radiation and kinetic energy from stars and AGN are consumed and re-processed in and through the interstellar medium (ISM) via a rich set of physical processes. Feedback is key amongst these processes, including photoionisation, collisions, shocks, winds, and outflows; all of which can significantly impact the star-formation history of galaxies. Feedback processes are considered critical in quenching star formation in massive galaxies and accounting for the observed stellar mass function (e.g. Man & Belli Reference Man and Belli2018). However, a concrete picture of how feedback by energetic sources modulates the evolution and growth of massive galaxies remains elusive in both theory and observation (Fabian Reference Fabian2012; Naab & Ostriker Reference Naab and Ostriker2017).
The key to clearly delineate energy and feedback sources in galaxies is to spatially diagnose and distinguish them. With MAGPI, we will simultaneously decode the feedback signatures from the resolved star formation rate, dust attenuation, and ISM properties such as metallicity, shock velocity, ionisation parameters, and electron density (Yuan et al. Reference Yuan, Kewley, Swinbank and Richard2012; Davies et al. Reference Davies, Kewley, Ho and Dopita2014; Ho et al. Reference Ho, Kudritzki, Kewley, Zahid, Dopita, Bresolin and Rupke2015) using rest-frame optical emission-line diagnostics (Baldwin, Phillips, & Terlevich Reference Baldwin, Phillips and Terlevich1981; Veilleux & Osterbrock Reference Veilleux and Osterbrock1987; Kewley et al. Reference Kewley, Groves, Kauffmann and Heckman2006; Poetrodjojo et al. Reference Poetrodjojo2021). With MAGPI, environmental and in-situ quenching mechanisms will be correlated with the spatial distribution of star formation at redshift $z\approx0.3$ (also see Vaughan et al. Reference Vaughan2020) and compared to local trends (e.g. Schaefer et al. Reference Schaefer2019; Bluck et al. Reference Bluck2020) to identify evolution in the prominence of various quenching mechanisms.
2.4. Tracing the metal mixing history of galaxies
Radial metallicity gradients of both gas and stars provide temporal snapshots of a galaxy’s chemical history. Recent chemodynamical cosmological simulations show that a joint picture of stellar and gas metallicity gradients provides one of the most stringent constraints on the mass assembly history of both late- and early-type galaxies (Taylor & Kobayashi Reference Taylor and Kobayashi2017; Tissera et al. Reference Tissera, Machado, Carollo, Minniti, Beers, Zoccali and Meza2018). Across cosmic time, the predictions for both stellar and gas metallicities show sensitive dependence on the history of merger events, AGN feedback, and star formation.
This dependence is reflected in the large scatter seen in local gas metallicity gradient observations (Belfiore et al. Reference Belfiore2017; Sánchez-Menguiano et al. Reference Sánchez-Menguiano2016) and beyond $z\sim0.2$ (Queyrel et al. Reference Queyrel2012; Stott et al. Reference Stott2014; Wuyts et al. Reference Wuyts2016; Carton et al. Reference Carton2018; Förster Schreiber et al. Reference Förster Schreiber2018). Notably, the largest scatter in slopes is predicted beyond $>1r_{e}$ in massive galaxies $2-6$ Gyr ago; reflecting that a broad range of accretion histories, kinematics, and feedback mechanisms are at play (Ma et al. Reference Ma, Hopkins, Feldmann, Torrey, Faucher-Giguère and Kereš2017). Collacchioni et al. (Reference Collacchioni, Lagos, Mitchell, Schaye, Wisnioski, Cora and Correa2020) showed that even within $1r_{\rm e}$ , gas accretion clearly affects the slope of gas metallicity profiles in EAGLE simulations. These simulations also predict that AGN play an important role in setting radial metallicity gradients, with resolved mass vs gas-phase metallicity relations turning over under the influence of AGN feedback (Trayford & Schaye Reference Trayford and Schaye2019).
With simultaneous gas and stellar metallicity measurements at $z=0.3$ , these models can now be confronted with joint observations at higher redshifts for the first time. In other words, MAGPI will establish the first comprehensive dataset at intermediate redshift to test chemodynamical models using stellar and gas metallicity gradients, along with a detailed study of how gas and stellar metallicity gradients vary with galaxy and environment properties.
2.5. Producing a comparison-ready theoretical dataset
The MAGPI survey has close connections with a variety of cosmological simulations. This is an important element for two main reasons. Firstly, simulations provide the necessary context for our sample selection and the analysis of our observational results. Simulations equip the team with a resource to quantify the completeness of the environment sampling and spectroscopic completeness.
Secondly, MAGPI observations allow us to test the wealth of predictions from large-scale galaxy simulations as well as from analytic and semi-analytic models. For this, it is essential to explore a suite of simulations to provide us with predictions that appear robust to the details of galaxy formation modelling and predictions that are highly dependent on those details. The main aims are to pin-point areas that require revision in simulations and to understand whether or not the modelling of specific physical processes (e.g. stellar or AGN feedback) implemented in some simulations better captures the observations compared to other plausible models of the same physical process. The latter is key to move from a qualitative understanding of galaxy formation to a quantitative one.
In this and future work, we make use of existing cosmological hydrodynamical simulations and retrieve data from EAGLE (Schaye et al. Reference Schaye2015; Crain et al. Reference Crain2015), Magneticum (Teklu et al. Reference Teklu, Remus, Dolag, Beck, Burkert, Schmidt, Schulze and Steinborn2015; Schulze et al. Reference Schulze, Remus, Dolag, Burkert and Emsellem2018), HORIZON-AGN (Dubois et al. Reference Dubois, Peirani, Pichon, Devriendt, Gavazzi, Welker and Volonteri2016), Illustris-TNG100 (Pillepich et al. Reference Pillepich2018; Naiman et al. Reference Naiman2018; Springel et al. Reference Springel2018; Nelson et al. Reference Nelson2019), and the chemodynamical simulation of Taylor & Kobayashi (2015) and (Reference Taylor and Kobayashi2017), henceforth TK15. As more simulations become available, we will continue to increase our library of predictions. An important aspect of our strategy is to have experts on all these simulations as part of our team, to have first-hand knowledge of the technical details of each of them. In Section 3.6, we provide a brief description of the simulations that are currently part of our suite, while Section 4.2 showcases early theoretical results.
3. Data
The MAGPI sample (Section 3.1), observing strategy (Section 3.2), data processing (Section 3.4), and theoretical dataset (Section 3.6) are designed and implemented to optimally address the survey goals described in Section 2.
3.1. Sample selection and survey design
The MAGPI science goals require that we derive spatially resolved stellar kinematics and structural properties for galaxies spanning a range of morphology, star-formation properties, and environment. This naturally pushes us towards selecting targets from existing surveys with substantial multi-wavelength imaging and well-characterised environmental metrics. Based on bootstrap samples drawn from the EAGLE $\lambda_{r_e}$ PDFs shown in Figure 1, we require a minimum of 60 massive central galaxies (20 in each of the 3 environment bins) to detect the difference in the shape (skewness and median) in the low- and high-density $\lambda_{r_e}$ distributions predicted by cosmological simulations at a 95% confidence level (99.7% confidence would require ${\gtrsim}130$ massive galaxies). We define a ‘central’ galaxy as a galaxy which dominates its environment. As such, isolated galaxies are considered centrals for our purposes.
Primary MAGPI targets were drawn from the Galaxy and Mass Assembly survey (GAMA; Driver et al. Reference Driver2011; Liske et al. Reference Liske2015; Baldry et al. Reference Baldry2018). GAMA conducted extensive spectroscopic observations covering a total of $250\ \mathrm{deg}^2$ across five fields (G02, G09, G12, G15, and G23). Along with 21-band photometric data spanning from the ultraviolet to the far-infrared (Driver et al. Reference Driver2016), the high spectroscopic completeness of GAMA targets ( ${\sim}98$ percent at $m_r \leq 19.8$ ) ensures a robust characterisation of environment in terms of both near-neighbour density (e.g. Brough et al. Reference Brough2013) and dark matter halo mass (e.g. Robotham et al. Reference Robotham2011). At $z=0.3$ , the limiting magnitude of $m_r = 19.8$ used to define the GAMA spectroscopic sample corresponds to a stellar mass of $\log (M_*/{\mathrm{M}}_\odot) \approx 11$ .
We first identified potential targets in the GAMA G12, G15, and G23 fields with spectroscopic redshifts, $z_\mathrm{spec}$ , in the range $0.28 \leq z_\mathrm{spec} \leq 0.35$ and photometrically derived stellar masses, $M_\ast$ (Taylor et al. Reference Taylor2011), greater than $7\times10^{10}~{\mathrm{M}}_\odot$ . The former selects galaxies in our redshift range of interest around $z \approx 0.3$ , while the latter ensures that all primary targets will be sampled by multiple MUSE resolution elements within their half-light radii. This initial pool of 209 objects was further culled based on the availability of suitably bright ( $m_R \leq 17.3$ ) tip-tilt stars within the GALACSI technical field, which were identified by a cross-match with Gaia DR2 (Gaia Collaboration et al. 2018), resulting in 95 potential targets.
Selection of the final MAGPI sample was carried out based on the requirement that galaxies uniformly sample a range of environments (including isolated galaxies) and colours. In Figure 3, we show the distribution of selected targets in terms of rest-frame $g-i$ colour and dark matter halo mass (as derived by Robotham et al. Reference Robotham2011). We select a total of 56 massive galaxies from GAMA, with a remaining four galaxies drawn from MUSE archival observations of Abell 370 (Program ID 096.A-0710; PI: Bauer) and Abell 2744 (Program IDs: 095.A-0181 and 096.A-0496; PI: Richard) to ensure data coverage up to the highest halo masses; the final sample covers a halo mass range spanning $11.35 \leq \log({M_\mathrm{halo}}/\mathrm{M_\odot}) \leq 15.35$ . KiDS i-band cutouts for the 56 GAMA target fields are shown in Figure B.1.
In addition to providing spatially resolved spectroscopic data for the primary galaxy sample described above, the large physical extent of the MUSE field-of-view at $z \sim 0.3$ ( ${\sim}$ 270 kpc) also provides dense spectroscopic sampling of the primary galaxy’s host environment. The distribution of these neighbouring objects (henceforth referred to as ‘secondary’ objects) in terms of colour, size, and stellar mass is shown in Figure 3. Based on GAMA photometry, we expect as many as 150 secondary galaxies for which MAGPI observations will provide spectra at S/N $> 5\,\AA^{-1}$ , with ${\sim}100$ of those being resolved by multiple seeing elements within their half-light radii. Secondary objects enable the robust characterisation of environment, which is central to the MAGPI science goals (Section 2).
The depth and breadth of ancillary data for MAGPI fields available mainly through the GAMA survey enables new areas of scientific investigations. In addition to refining environmental metrics, pushing the completeness of GAMA (Robotham et al. Reference Robotham2011), MAGPI can produce extremely deep satellite stellar mass functions for the targeted GAMA groups.
3.2. Observing strategy
Observations for MAGPI are carried out in service mode and in dark time, starting in ESO Period 104, and being a large program, will continue until completion. MUSE is used in the wide-field adaptive optics (AO) mode, yielding a ${\sim}1\times1$ arcmin field-of-view sampled by $0.2\times0.2$ arcsec spatial pixels (henceforth spaxels). Data are taken with the blue cut-off filter in place (i.e. the ‘nominal’ spectral mode), resulting in wavelength coverage from 4 700 to 9 350 Å and a spectral sampling of $1.25\,\AA\, \mathrm{pixel}^{-1}$ . The use of the GALACSI GLAO system roughly doubles the delivered ensquared energy per pixel for MUSE wide-field mode observations and ensures that all MAGPI targets are observed with an effective seeing of 0.65 arcsec FWHM in V-band, or better.
For each primary target, we obtain six observing blocks, comprising $2\times1\,320$ s on source exposures; the total on-source integration time per field is 4.4 h. These long exposures ensure that we reach an S/N of $5\,\AA^{-1}$ per resolution element around 6 000–6 500 Å in the stellar continuum for individual spaxels at roughly $1\times r_{e}$ , where the typical surface brightness for galaxies in our primary sample is $\mu_\mathrm{R}= 23-23.5\ \mathrm{mag}\ \mathrm{arcsec}^{-2}$ and allows us to reliably constrain the first and second moments of the line-of-sight velocity distribution (e.g. Bender, Saglia, & Gerhard Reference Bender, Saglia and Gerhard1994; van de Sande et al. Reference van de Sande2017). Individual exposures are spatially offset (dithered) and rotated to reduce the impact of the MUSE slicer pattern and/or detector systematics on the final combined frames. The final exposure covers ${\sim}1.17\ \mathrm{arcmin}^2$ as a result of the adopted dithering and rotation pattern (see, e.g., Figure 4).
3.3. MAGPI in context
With a total survey area of ${\sim}56\ \mathrm{arcmin}^{2}$ , 4 h on-source exposures, and GLAO-corrected image quality (see Sections 3.1 and 3.2), MAGPI fills a niche between the wide-area, shallow MUSE-Wide survey (Herenz et al. Reference Herenz2017; Urrutia et al. Reference Urrutia2019) and the deeper but narrow-fields MUSE HDFS (Bacon et al. Reference Bacon2015), and MUSE HUDF (Bacon et al. Reference Bacon2017). The depth and AO-resolution of the MAGPI observing campaign allow further investigation of the evolution of galaxies across cosmic time. Beyond the galaxies selected at $z\sim0.3{-}0.4$ , MAGPI will enable science utilising star-forming galaxies identified through strong optical emission lines ( $0<z<1.5$ ) and Lyman alpha (Ly $\alpha$ ) emission ( $2.9<z<6.0$ ). The targeting strategy for MAGPI fields can reduce the effects of cosmic variance, for example, on the Ly $\alpha$ luminosity function, faced by surveys mainly targeting the deep legacy fields.
Figure 2 compares the relative spatial resolution of stellar and ionised gas kinematic with lookback time for present and ongoing major IFS campaigns. The science goals of MAGPI are highly complementary to previous and ongoing IFS studies of ionised gas and stars in the nearby galaxy population such as SAURON (Bacon et al. Reference Bacon2001; de Zeeuw et al. Reference de Zeeuw2002), DiskMass (Bershady et al. Reference Bershady, Verheijen, Swaters, Andersen, Westfall and Martinsson2010), $\mathrm{ATLAS}^{\rm 3D}$ (Cappellari et al. Reference Cappellari2011), SAMI (Croom et al. Reference Croom2012), TYPHOON (Sturch & Madore Reference Sturch, Madore, Tuffs and Popescu2012), CALIFA (Sánchez et al. Reference Sánchez2012), MASSIVE (Ma et al. Reference Ma, Greene, McConnell, Janish, Blakeslee, Thomas and Murphy2014), MaNGA (Bundy et al. Reference Bundy2015), GHASP (Poggianti et al. Reference Poggianti2017), Fornax3D (Sarzi et al. Reference Sarzi2018), MAD (Erroz-Ferrer et al. Reference Erroz-Ferrer2019), and Hector (Bryant et al. Reference Bryant2020). Despite reaching to nearly twice the lookback time of these existing IFS surveys, MAGPI will deliver a spatial resolution comparable to MaNGA, SAMI, and MASSIVE (Figure 2, left panel), facilitating evolutionary studies of massive galaxy kinematics. MAGPI also targets a key epoch between current IFS datasets and future resolved observations at $z>1$ using JWST and ELTs.
With complementary science goals and a sample of 191 star-forming galaxies at $0.2 < z < 0.6$ , the new IFS survey K-CLASH (K-band Multi-Object Spectrograph Cluster Lensing And Supernova survey with Hubble, Tiley et al. Reference Tiley2020; Vaughan et al. Reference Vaughan2020) focused on H $\alpha$ emission from ionised gas presents new opportunities for productive scientific synergies with MAGPI. The right-hand panel of Figure 2 shows how MAGPI strategically links local IFS surveys of the ionised gas to their high-redshift counterpart such as IMAGES (Yang et al. Reference Yang2008), AMAZE/LSD (Maiolino et al. Reference Maiolino2008), MASSIV (Contini et al. Reference Contini2012), $\mathrm{KMOS}^{\rm 3D}$ (Wisnioski et al. Reference Wisnioski2015, Reference Wisnioski2019), KROSS (Magdis et al. Reference Magdis2016), KGES (Stott et al. Reference Stott2016), KDS (Turner et al. Reference Turner2017), and SINS/zC-SINF (Förster Schreiber et al. Reference Förster Schreiber2018) at SINS-like spatial resolution.
3.4. Data reduction
Here, we briefly outline the relevant data processing steps used to transform the raw MUSE data into flux calibrated and combined cubes for each MAGPI field; a more detailed description of the MAGPI reduction procedure and quality control will be provided in Mendel et al. (in preparation).
First, raw data are processed using pymusepipe,Footnote a which acts as an interface to the ESO MUSE reduction pipeline (Weilbacher et al. Reference Weilbacher, Streicher, Urrutia, Jarno, Pécontal-Rousset, Bacon and Böhm2012, Reference Weilbacher2020), as well as additional tools for illumination correction and sky subtraction. The main processing steps include bias and overscan subtraction, flat fielding, wavelength calibration, and measurement of the instrumental line-spread-function. Following this initial processing of the science exposures, we generate white-light images from the MUSE data and use these to derive the final output coordinate grid as well as correct for astrometric offsets between the individual cube coordinate systems (due to, e.g., ‘derotator wobble’ Bacon et al. Reference Bacon2015). We reconstruct the final cubes and apply a correction for telluric absorption using standard MUSE pipeline tools.
Final processing of the individual MUSE science exposures is performed outside of the standard pipeline using the CubeFix (S. Catalupo 2020, in preparation) and Zurich Atmosphere Purge (ZAP Soto et al. Reference Soto, Lilly, Bacon, Richard and Conseil2016) packages. We first reconstruct individual exposures onto their final coordinate grid, derived as described above. We then correct for spatially and spectrally varying illumination using CubeFix, which uses the sky (continuum and lines) as a spatially uniform reference to re-calibrate individual MUSE slices and IFUs (see Borisova et al. Reference Borisova2016, for more details). Sky subtraction is then performed using ZAP, which relies on reconstructing the sky in each MUSE $0.2\times0.2$ arcsec spaxel based on a set of principal components derived from the cube itself. The initial illumination-corrected and sky-subtracted cubes are then combined using a 3 $\,\sigma$ clipped median. In practice, CubeFix and ZAP are applied iteratively, where at each iteration bright sources are masked based on the combined data cube from the previous iteration and CubeFix and ZAP are re-run. In nearly all cases, a single subsequent iteration of CubeFix and ZAP is sufficient.
3.4.1. Source detection
Data products for individual targets are created from the reduced MAGPI cubes. Synthetic white-light, r and i-band images for each field are created using the mpdaf python package.Footnote b We also create a modified synthetic g-band image ( $g_{\rm mod}$ ) because the MUSE nominal wavelength range only partly covers the g-band filter range. Then the ProFound R package (Robotham et al. Reference Robotham2018) is used to detect objects in the white-light image above a threshold of $3\times \mathrm{RMS}_{\rm sky}$ and produce a preliminary segmentation map. Similarly to Bellstedt et al. (Reference Bellstedt2020), this segmentation map is then manually adjusted to join mistakenly split segments or remove visibly spurious detections. ProFound is used once more to finalise photometric properties using the r and i-band images, these include $r_e$ (approximate elliptical semi-major axis containing half the flux), photometric position angle ( ${\rm PA}_{\rm phot}$ ), axis ratio and apparent magnitudes, for every object detected in the field. Additional faint emission-line sources are found using custom software with segments added to the full segmentation map.
Unique 10-digit MAGPI IDs are assigned as a concatenation of the 4 digits FieldID (see Table A.1) and the $3+3$ digits (X,Y) position of the brightest pixel in the white-light image. Objects with an r-band $r_e > 0.7$ arcsec FWHM are deemed ‘resolved’. For all resolved targets in the field, a series of aperture spectra (0.5, 1, 1.5 and 2 $r_e$ elliptical, as well as 1, 2 and 3 arcsec circular, see examples in Figure 5) and a ‘minicube’ are produced using mpdaf, while masking nearby objects based on the segmentation map to avoid contamination. A 1 arcsec aperture spectrum and minicube are also created as above for all unresolved targets in the field. We use the qxp (Davies et al. in preparation) package in R to measure the redshift, $z_{\rm spec}$ , of all objects in the field using these 1 arcsecond aperture spectra. qxp is a modified version of AutoZ (Baldry et al. Reference Baldry2014), that is currently used for the Deep Extragalactic VIsible Legacy Survey (DEVILS; Davies et al. Reference Davies2018) and is in development for the core 4-metre Multi-Object Spectroscopic Telescope (4MOST) L2 redshifting pipeline. Objects with redshift probability values ( $p\ge0.98$ ) are considered secure.
3.5. Derived quantities
We present a description of the derived observational quantities shown in this work. The methods described below are under ongoing development and may be improved in subsequent data releases, which will describe relevant changes as required.
3.5.1. Kinematic maps
Stellar kinematics are extracted spaxel-by-spaxel, but we exclude masked regions, as well as individual spaxels with median $\mathrm{S/N} < 3 \, \mathrm{pixel}^{-1}$ . We use the python implementation of the penalised Pixel Fitting program (hereafter pPXF Cappellari & Emsellem Reference Cappellari and Emsellem2004; Cappellari Reference Cappellari2017) and the IndoUS stellar template library (Valdes et al. Reference Valdes, Gupta, Rose, Singh and Bell2004). The choice of an empirical template library over a synthetic one is motivated by reported discrepancies between synthetic stellar population spectra and observed spectra of local galaxies (van de Sande et al. Reference van de Sande2017, Figure 25) and globular clusters (Conroy et al. Reference Conroy, Villaume, van Dokkum and Lind2018, Figures 14 and 17). For the stellar template spectra (hereafter simply: templates), we assume a fixed spectral resolution of $1.35 \, \text{\AA}$ (Gaussian FWHM; Beifiori et al. Reference Beifiori, Maraston, Thomas and Johansson2011); before fitting, templates are convolved to match the spectral resolution of the MAGPI data as measured from sky lines in the reduced and combined data cube (Mendel et al. in preparation).
The IndoUS library contains stars with incomplete spectral coverage: we remove 450 templates with gaps in the rest-frame range $\lambda < 7\,300 \, \text{\AA}$ , bringing the number of templates available for the fit to 823. This large number of templates is required to accurately fit high S/N spaxels, but provides excessive freedom for fitting lower S/N ( $\mathrm{S/N}\lesssim 15\,\mathrm{pixel}^{-1}$ ) spaxels, increasing the kinematic uncertainties unnecessarily. To overcome this limitation, we adopt the strategy of the SAMI Galaxy Survey (van de Sande et al. Reference van de Sande2017): we pre-select a set of ${\approx}15$ templates by fitting the spectrum of a set of elliptical annuli. These spectra are constructed by adding the spaxels inside an annulus of minimum width equal to one spaxel, and increasing the width until a minimum $S/N = 25 \, \mathrm{pixel}^{-1}$ is reached (or until no more spaxels are available). To fit these spectra, we use the trimmed IndoUS templates, a 12th-order additive Legendre polynomial, a Gaussian line-of-sight velocity distribution (LOSVD), and $c \, z_\mathrm{spec}$ and $\sigma=200 \, \mathrm{km \, s^{-1}}$ as initial guess for the velocity and velocity dispersion, respectively. We mask spectral regions affected by sky emission lines, nebular emission lines, and the AO laser. After the fit, the best-fit spectrum of each annulus is stored. Subsequently, to fit the spectrum of a given spaxel, we first determine a set of intersecting and adjacent annular bins: any annulus intersecting the spaxel, as well as any annulus adjacent to an intersecting annulus. We retrieve the best-fit spectra of each selected annulus and use this set of spectra as templates for pPXF. The same fitting procedure that was used to fit the annular bins is applied to the unbinned spaxels. For both the annular bins and the subsequent fit on individual spaxels, we run pPXF once to estimate the $\chi^2$ per degrees-of-freedom of the fit, then re-scale the input noise spectrum by this value and run pPXF again with the clean keyword. Example resulting stellar kinematic maps is shown in Figure 4.
We measure ionised gas velocity, velocity dispersion, and flux using a set of Gaussian fits to the continuum-subtracted data. For each spaxel, we first remove the continuum using the best-fit stellar kinematics and templates described above. We then fit the residual spectra using a set of 22 emission lines extending from [OII] $\lambda$ 3727 to [SII] $\lambda$ 6732, where the width and relative velocity of all lines are tied. We note that our assumption of a single Gaussian line profile is inaccurate in the presence of multiple kinematic components (e.g. shocks, AGN emission, outflows, etc.); more detailed modelling of the ionised gas kinematics is the subject of future work (Gupta et al. in preparation).
3.5.2. Stellar populations
The method for measuring 2D stellar population maps shown in Figure 4 will be described in detail in Vaughan et al. (in prep.), but we provide a brief summary here. First, the minicubes are adaptively binned to an approximately equal S/N ratio of 20 using the Voronoi Tessellation algorithm of Cappellari & Copin (Reference Cappellari and Copin2003). We extract flux and variance spectra from each Voronoi bin by summing the appropriate spaxels from the flux and variance cubes in each spectral slice.
We then use the full spectral fitting code pPXF to fit simple stellar population models from the MILES library of Vazdekis et al. (Reference Vazdekis2015) to each Voronoi bin. We only include templates that are younger than the age of the Universe at the redshift of our sample, which is ${\sim}$ 10 Gyr. The templates range in metallicity from $-2.27$ to $+0.4$ dex, age from 0.03 to 9 Gyr, and can take two values of [ $\alpha$ /Fe] abundance of 0.00 and +0.4 dex. Each template assumes a Salpeter initial mass function (Salpeter Reference Salpeter1955). The normalisation of the templates is set such that the recovered stellar population parameters are mass-weighted, and we use a 10th-order multiplicative Legendre polynomial to correct for large-scale differences in the continuum shape between the templates and observed spectra.
We also include templates for a number of common emission lines during the fitting procedure, split into two kinematic components. Emission lines in the same kinematic component are constrained to have the same line-of-sight V and $\sigma$ . The first component contains a series of emission lines corresponding to the Balmer series (H $\alpha$ to H $\theta$ ). The flux values of each line in the Balmer series are fixed according to the intrinsic Balmer decrement for Case B recombination with electron temperature $T=10^4$ K and a number density of $n=100\,\mathrm{cm}^{-3}$ (Dopita & Sutherland Reference Dopita and Sutherland2003), with their fluxes scaled up or down in lockstep (i.e. using the tie_balmer keyword in pPXF). We also fit for reddening from these Balmer lines using a Calzetti extinction curve (Calzetti et al. Reference Calzetti, Armus, Bohlin, Kinney, Koornneef and Storchi-Bergmann2000). The second component corresponds to the [OIII] $\lambda4959,\lambda5007$ doublet; the [OI] $\lambda6300,\lambda6364$ doublet; the [NII] $\lambda6548,\lambda6583$ doublet; and the [SII] $\lambda6716,\lambda6731$ doublet. In each case, we use the limit_doublets keyword in pPXF to limit the fluxes of each doublet component to be between the values allowed by atomic physics.
As was done with the stellar kinematics, we run pPXF once to estimate the $\chi^2$ per degrees-of-freedom of the fit, then re-scale the input noise spectrum by this value and run pPXF again with the clean keyword. This iteratively clips the spectrum of outliers and bad pixels (see Cappellari Reference Cappellari2017, for further details). As we are not interpreting the weights on individual templates for the stellar population maps, we do not use regularisation (i.e. regul = 0) for this step. After the fitting, we extract the weighted average age and metallicity of each Voronoi bin by summing over the best-fitting weights from pPXF. Our results correspond to the mass-weighted average quantity for each spectrum.
For galaxies with limited spatial extent, we are able to measure global ages and metallicities from the integrated spectra. The integrated stellar population parameters are measured following the same method to the spatially resolved maps, but with a regularisation value of regul = 100. We demonstrate the integrated stellar population fits in Figure 4 by showing the template weights for galaxies MAGPI1501334289 and MAGPI1501219286.
3.6. Theoretical dataset
This section summarises relevant differences between the simulations in our library and outlines planned theoretical MAGPI data products. A more detailed overview of the simulations in the MAGPI theoretical library can be found in Appendix B.
3.6.1. Simulations
Broadly, all the simulations include the same key physical processes: metal cooling, photoionisation, star formation, stellar evolution and chemical enrichment, feedback from stars, and supermassive black holes. The key differences reside in how these processes are modelled in detail (see Vogelsberger et al. Reference Vogelsberger, Marinacci, Torrey and Puchwein2020 for a recent review). Table 1 shows key technical information about the cosmological hydrodynamical simulations currently in our suite. We show the highest spatial resolution achieved for both gas and dark matter; however, we caution that for galaxy structure and kinematics what matters is the spatial resolution of the dark matter (rather than the gas or stars; Ludlow et al. Reference Ludlow, Schaye, Schaller and Bower2020).
The hydrodynamic techniques used by the simulations in Table 1 are varied, with EAGLE, Magneticum, and TK15 employing smooth particle hydrodynamics, HORIZON-AGN employing Adaptive Mesh Refinement, and Illustris-TNG100 an unstructured mesh strategy. These simulations also adopt different cosmological parameters: EAGLE adopts Planck Collaboration (2014), Magneticum and HORIZON-AGN adopt Komatsu et al. (Reference Komatsu2011), Illustris-TNG100 adopts Planck Collaboration et al. (2016), and TK15 adopts Hinshaw et al. (Reference Hinshaw2013). Despite these differences in hydrodynamics solver and cosmology, most of the differences in the predicted properties of the galaxy population are due to the modelling of physical processes that happen below the spatial scales typically resolved.
Briefly, EAGLE, HORIZON-AGN, and TK15 use thermal energy injection to model stellar feedback, while Magneticum and Illustris-TNG100 increase the velocity of nearby particles and decouple them from the hydrodynamic calculation for a period of time. Magneticum, HORIZON-AGN, and Illustris-TNG100 implement AGN feedback so that there are two modes that are distinct for black holes accreting close to the Eddington limit and those well below; meanwhile EAGLE and TK15 model AGN feedback as a single mode of energy injection. A more detailed description of each of these simulations is presented in Appendix B.
3.6.2. Data products
To fulfil our goal of making full use of the simulation suite, we present datasets in two ways for the simulations that are currently in our theory library. The first one consists of making relevant measurements within the simulations in a consistent manner directly comparable to MAGPI observational data. The second one consists in creating 3D cubes of galaxies that can be analysed with the same tools we use for the observations. Below we provide a short description of these two approaches:
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1. Providing tabulated predictions computed in a consistent manner. We follow the strategy of van de Sande et al. (Reference van de Sande2019) and ask team members with access to and expertise with the different simulations to provide measurements of a range of physical properties of galaxies that science projects are aiming at using. Currently, these include: stellar mass, star-formation rate, halo mass, central/satellite distinction, and r-band $r_{e}$ . Several properties are then computed within integers of $r_{\rm e}$ (1 and 2): specific stellar angular momentum ( $j^*$ ), stellar spin parameter ( $\lambda_r$ ), star-forming gas metallicity ( $\log(\rm O/H) + 12$ ), and radial metallicity slope of the star-forming gas ( $\alpha_r$ ). These properties are provided at several redshifts between $z=0$ and $z=1$ , but most critically at $z\approx 0.3$ , which is the redshift of interest for MAGPI. This enables the analysis of evolutionary trends that we can then connect with existing $z\approx 0$ and $z\gtrsim 0.5$ surveys.
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2. Creating synthetic cubes of galaxies in the simulation suite. We create data cubes matched to the MAGPI observations: a spatial pixel of $0.2$ arcsec, a velocity pixel of $1.25$ Å, a line-spread function (LSF) of FWHM $=2.63$ Å, and observational ‘noise’ using SimSpin Footnote c (Harborne, Power, & Robotham Reference Harborne, Power and Robotham2020). These MAGPI mock cubes use galaxies at the redshift of MAGPI and are projected to a redshift distance of $z=0.25-0.35$ to match the observation specifications. These cubes keep the number of pixels within $r_e$ approximately fixed. So far these have been created for stars only with the purpose of studying stellar kinematics. In the future, they will be extended to include stellar populations and gas properties as well. Examples of the existing cubes are presented in Figure 6, visualised using Pynmap.Footnote d These cubes are provided in FITS format to facilitate their analysis using the same tools as used by observers in the team and are generated at four different inclinations (30, 45, 60 and 75 degrees) with the aim of investigating the systematic effect this can have.
4. Early results
We demonstrate selected aspects of the observational and simulated data to date.
4.1. Observations
At the time of writing, MAGPI observations are under way with data available for 15 completed fields (G12-J113850, G12-J114121, G12-J114123, G12-J114238, G12-J115219, G12-J120038, G12-J120759, G12-J121953, G12-J122223, G15-J140913, G15-J142228, G15-J142332, G15-J143616, G15-J143809 and G23-J223757), 8 partly observed (G15-J141428, G15-J143840, G15-J145221, G23-J224045, G23-J224634, G23-J230506, G23-J231312 and G23-J231911), and 2 archive fields (Abell 370 and Abell 2477; see Table A.1 and Figures B.1 and B.2).
In what follows, we present selected observational data for two MAGPI fields, the first has intermediate density ( $M_{\rm halo}/{\mathrm{M}}_{\odot}=13.16$ ): G15-J140913 (FieldID $=1501$ ). There are 19 ‘resolved’ (r-band $r_e>0.7$ arcsec) galaxies at the redshift of interest in this field.
Figure 4 shows the synthetic $g_{\rm mod}ri$ image of the G15-J140913 field with selected stellar kinematic and populations as insets. The methodology employed to derive the results presented in Figure 4 insets is described in Sections 3.5.1 and 3.5.2. Figure 4 shows that the central galaxy (GAMAID 237785 or MAGPI1501191209) is a clear slow rotator, has a negative stellar metallicity gradient, and a uniformly old stellar ages. Neighbouring galaxies MAGPI1501334289 and MAGPI1501219286 show clear rotation and a central peak in their velocity dispersion maps. Nearby galaxy MAGPI1501171118 exhibits a negative stellar metallicity gradient and hints of a negative age gradient. Detailed stellar populations for two other galaxies in the field (MAGPI1501219286 and MAGPI1501334289) suggest a prominence of old and metal-rich stars with predominantly solar [ $\alpha$ /Fe] abundances in both galaxies.
In addition to stellar population maps and star-formation histories as shown above, systems that contain significant ionised gas (e.g. Figure 7) also enable the study and comparison of the gas-phase metallicities and dynamics. In MAGPI1202197195, the bright central in field G12-J114121 (FieldID $=1202$ , $M_{\rm halo}/{\mathrm{M}}_{\odot}=14.78$ , see Table A.1), extended maps of both the stellar and ionised gas components can be derived. The kinematic maps enable, for example, the computation of $\lambda_r$ , kinematic offset between gas and stars, and kinematic asymmetries using kinemetry of both the gas and the stars. The metallicity maps of the gas and stars enable the measurement of metallicity gradients. Gas-phase metallicity gradients represent a key measurable where theoretical models as well as simulations show tension in galaxies at $z\sim 0.3$ (see Section 4.2).
We leave the detailed analyses of the observed dynamics, stellar populations, and ionised gas properties of MAGPI galaxies to future papers. The early results shown here demonstrate that the MAGPI data are of the anticipated quality and depth to accomplish the survey science goals presented in Section 2 and that these observations can be straightforwardly compared with their simulated counterparts produced by the survey theory working group (see Section 4.2).
4.2. Theoretical predictions
Below we explore the theoretical expectation for the dynamical state and metallicity profiles of galaxies at the redshift of MAGPI using a range of galaxy simulation models (see Section 3.6). The main goal of this section is to understand what MAGPI could constrain and measure. To remedy the fact that the simulations introduced in Section 3.6.1 have different cosmological volumes, we decide to randomly sample the simulations to obtain a similar number of galaxies to those we expect for MAGPI. We are interested in two populations of galaxies: the ‘primary targets’—galaxies with stellar masses ${\ge}10^{10.8}\,\mathrm{M}_{\odot}$ , of which we expect ${\approx}60$ ; and the ‘secondary targets’—galaxies in the field-of-view of the primary (aka ‘satellite’ galaxies) that are expected to be well resolved, that is, stellar masses ${\ge}10^{10}\,\mathrm{M}_{\odot}$ , of which we expect ${\approx}100$ . Put together, we refer to this sample as the ‘well-resolved MAGPI-like’ sample.
4.2.1. Dynamical evolution and environmental effects
Theoretical stellar kinematic measurements (in this case $\lambda_{r_e}$ ) are performed as in van de Sande et al. (Reference van de Sande2019) for EAGLE and Magneticum, and as in Choi & Yi (Reference Choi and Yi2017) for HORIZON-AGN. For the TK15 simulation, light-weighted, line-of-sight velocity and velocity square maps were generated. From these, $\lambda_{r_e}$ was computed within a circular aperture of radius $r_{\rm e}$ . Section 3.6 presents a description of the physics included in these simulations. An important caveat is that EAGLE, Magneticum, and HORIZON-AGN are sufficiently large as to allow the construction of a well-resolved MAGPI-like sample. This is not the case for the TK15 simulation, which is ${\approx}7-63\times$ smaller than the other simulations. Because of this, we were only able to build a sample from this simulations that resembles the primary targets of MAGPI (i.e. 60 galaxies with $M_{\star}\ge 10^{10.8}\,\mathrm{M}_{\odot}$ ). Hence, compared to the other simulations, the TK15 sample will be biased towards higher stellar masses. We only include the TK15 simulation when we analyse the dependence of $\lambda_{r_e}$ on the specific star-formation rate of galaxies.
The left panels of Figure 1 show the 2-dimensional distribution of galaxies in the lookback time vs $\lambda_{r_e}$ plane for the primary MAGPI-like samples, as defined above, in EAGLE, Magneticum, and HORIZON-AGN hydrodynamical simulations.
Figure 1 further shows that EAGLE and Magneticum predict massive galaxies to have a relatively narrow distribution of $\lambda_{r_e}$ at $z=0$ with peaks at $\lambda_{r_e}\approx 0.22$ (EAGLE) and $\lambda_{r_e}\approx 0.18$ (Magneticum). Contrary to this, HORIZON-AGN predicts a broad $\lambda_{r_e}$ distribution at $z=0$ with two peaks at $\lambda_{r_e}\approx 0.15$ and $\lambda_{r_e}\approx 0.55$ . At $z=1$ , EAGLE and HORIZON-AGN predict a peak at $\lambda_{r_e}\approx 0.7$ and $\lambda_{r_e}\approx 0.6$ , respectively, while Magneticum predicts a peak at a lower $\lambda_{r_e}\approx 0.45$ . Significant kinematic transformation is seen in all simulations for massive galaxies, but at different cosmic epochs. In EAGLE, this happens at $0.3\lesssim z\lesssim 0.6$ , in Magneticum at $0.5\lesssim z\lesssim 0.8$ , while HORIZON-AGN predicts most of the transformation to happen at higher redshift, $z\gtrsim 0.8$ . To assess the effect of environment, we compare the distribution of $\lambda_{r_e}$ of the ‘primary MAGPI-like’ galaxies in the bottom and top $33{\rm rd}$ percentiles of the halo mass distribution in the three simulations and refer to those as low- and high-density environments, respectively. As each simulation predicts a different stellar-to-halo mass relation, and the selection of the sample was done in stellar mass, the exact halo mass thresholds defining these percentiles vary between simulations. For EAGLE and Magneticum, these halo mass thresholds are ${\approx}10^{12.9}\, {\mathrm{M}}_{\odot}$ and ${\approx}10^{13.4}\,\mathrm{M}_{\odot}$ , respectively, while for HORIZON-AGN these are ${\approx}10^{12.3}\,\mathrm{M}_{\odot}$ and ${\approx}10^{12.9}\,\mathrm{M}_{\odot}$ . At the redshift of MAGPI, the three simulations predict different degrees of environmental impact, with EAGLE and HORIZON-AGN predicting a $\lambda_{r_e}$ distribution skewed to high values at low densities compared to galaxies of the same stellar mass in high-density environments. These trends are strong enough that we expect MAGPI to detect them with the primary sample of 60 galaxies. Although Magneticum predicts an environmental effect, the high- and low-density distributions are less distinct to the point that there would not be enough galaxies in the primary MAGPI sample to detect this environmental impact. The fact that these trends arise clearly in two out of the three simulations, after we sample them to have the same expected number of primary targets as MAGPI, provides evidence to state that the survey is designed to have enough massive galaxies to robustly measure their $\lambda_{r_e}$ distribution in high and low-density environments. We thus expect MAGPI to be able to distinguish between these different predictions.
Wang et al. (Reference Wang, Cappellari, Peng and Graham2020) show that in addition to the dependence of $\lambda_{r}$ on $M_*$ , $\lambda_{r_e}$ strongly depends on the star-formation rate. In fact, part of the predicted environmental dependence of $\lambda_{r_e}$ in the different simulations comes from how they predict this quantity to vary with star-formation activity and stellar mass in galaxies. Figure 8 shows the expected dependence of $\lambda_{r_e}$ on the specific star-formation rate at $z\approx 0.3$ in EAGLE, Magneticum, HORIZON-AGN, and TK15 (solid lines). EAGLE and Magneticum define star-formation rates as instantaneous, while in HORIZON-AGN and TK15 this is the average SFR over the past 100 and 10 Myr, respectively. Because most galaxies have smoothly declining star-formation rates on those timescales, this difference in the way they are measured does not play an important role here (we tested different timescales from $10{-}100$ Myr and obtained only small differences that do not change the interpretation). Passive galaxies, which are preferentially found in high-density environments, are expected to have lower $\lambda_{r_e}$ in the three simulations. However, the exact dependence of $\lambda_{r_e}$ on the specific star-formation rate depends on the simulation. HORIZON-AGN and TK15 predict the steepest relation, followed by EAGLE, while Magneticum predicts a shallower dependence. In the four simulations, we find that the scatter of the relation is correlated with stellar mass, with lower (higher) stellar masses scattering up (down). In practice, this could be tested by comparing where the primary vs the secondary MAGPI targets lie in this plane, as the former will on average be more massive than the latter. TK15 predicts the lowest $\lambda_{r_e}$ of the four simulations at fixed specific star-formation rate. Part of this is due to the fact that from this simulation we were only able to construct a primary MAGPI-like sample rather than the full well-resolved MAGPI-like sample, and as explained above, there is an underlying dependence on stellar mass, where more massive galaxies tend to have lower $\lambda_{r_e}$ . For reference, we also show the $z=0$ predicted relation in Figure 8 and find that in general all simulations predict that the relation between $\lambda_{r_e}$ and specific star-formation rate becomes steeper from $z=0.3$ to $z=0$ , except for TK15, which predicts a shallower $z=0$ relation. MAGPI will be key to unveil the true shape of this relation at intermediate redshifts and hence place fundamental constraints on galaxy formation simulations. Disentangling how kinematic transformation and quenching happen in galaxies and whether these two processes correlate are key questions MAGPI, together with low redshift surveys, can shed light on.
Figure 6 shows kinematic maps of EAGLE galaxies built using SimSpin (Harborne et al. Reference Harborne, Power and Robotham2020) and adopting the specifications of MAGPI (see Section 3.6). These maps were selected to display the kinematic diversity expected for MAGPI galaxies, including slow and fast rotators, major-axis (prolate) rotation, kinematically decoupled cores, and counter-rotating discs (i.e. $2\sigma$ , Krajnović et al. Reference Krajnović2011). This will offer important constraints on how the angular momentum of stars and ionised gas are correlated and whether important differences are seen with respect to the local Universe.
4.2.2. Metallicity gradients and the effect of environment, mass, and star-formation rate
Gas metallicity gradients, $\alpha_{r_e}$ , were measured by selecting gas cells or particles that are actively involved in star formation (and hence are a good proxy for the ionised gas we expect to measure with MAGPI) within a spherical aperture of radius $r_{e}$ . We then bin the gas metallicity in equidistant logarithmic radial bins and measure the slope of the function $\rm log(\textit{Z}_{\rm gas}/Z_{\odot}) = \alpha_{\textit{r}_e}\,\textit{r} + \textit{a}_{0}$ . Here, $\alpha_{r_e}$ has units of $\rm dex/kpc$ , r is in kpc, and $a_0$ is the intersect of the radial profile at $r=0$ .
We explore the metallicity gradients in detail for the redshift of MAGPI, $z\sim 0.3$ , using the ‘well-resolved MAGPI-like’ samples from the cosmological hydrodynamical simulations EAGLE, Magneticum, HORIZON-AGN (shown in Figures 1 and 8), and Illustris-TNG100. Here, we do not show predictions from the TK15 simulation, as the statistics are not sufficient to build a full ‘well-resolved MAGPI-like’ sample. We study the diversity of radial metallicity profiles of the ionised gas in these four simulations and the predicted dependence on environment, stellar mass, and specific star-formation rate.
Figure 9 shows the probability density function of $\alpha_{\rm r_{\rm e}}$ for the four simulations and in two density environments, which are defined in the same way as above and Figure 1. Interestingly, the simulations differ significantly in their predictions, with Illustris-TNG100 predicting a much wider distribution of $\alpha_{\rm r_{\rm e}}$ compared to the other simulations, also predicting a large fraction of positive $\alpha_{\rm r_{\rm e}}$ ; Magneticum, on the other hand, predicts the narrowest distribution. In addition, HORIZON-AGN and EAGLE predict a clear environmental trend, while Magneticum and Illustris-TNG100 predict a very weak or no environmental dependence.
We study the effect of environment in these four simulations at $0\le z\le 1$ (not shown here) and find that each simulation predicts a different evolution of the environment dependence: EAGLE predicts the environmental dependence to become weaker from $z=1$ to $z=0$ , by which time environmental differences are very weak (see also Tissera et al. Reference Tissera, Rosas-Guevara, Bower, Crain, del P Lagos, Schaller, Schaye and Theuns2019); in HORIZON-AGN, there are very weak or no environmental differences in $\alpha_{r_{e}}$ at $z=1$ but those become more pronounced to $z=0$ (opposite to the EAGLE prediction), while Magneticum and Illustris-TNG100 predict environment to have a weak or no effect on $\alpha_{r_{e}}$ over the whole redshift range. The well-defined environment metrics of MAGPI (as improved from GAMA) and the number of expected galaxies in these different environments will allow the survey to place stringent constraints on these predictions at $z\approx 0.3$ , and combined studies of MAGPI together with local and more distant Universe surveys will allow to probe the evolutionary trends discussed here.
The presence or absence of an environmental trend of $\alpha_{r_{e}}$ in the well-resolved MAGPI sample of the four simulations is intimately linked with how these simulations predict $\alpha_{r_{e}}$ to vary with stellar mass and specific star-formation rate. Figures 10 and 11 show the distribution of $\alpha_{r_{e}}$ for galaxies above and below a stellar mass of $10^{10.8}\rm \, M_{\odot}$ (the threshold used to define the primary MAGPI-like sample) and in the bottom and top $33{\rm rd}$ percentile of specific star-formation rate, respectively. We again see striking differences between the predictions: EAGLE and HORIZON-AGN predict little dependence of $\alpha_{r_{e}}$ on stellar mass, while Magneticum and Illustris-TNG100 predict a relatively weak and very strong stellar mass dependence, respectively. EAGLE and HORIZON-AGN predict a strong dependence of $\alpha_{r_{e}}$ on the specific star-formation rate, while Magneticum predicts a much weaker or no dependence on specific star-formation rate. Illustris-TNG100 predicts the high specific star-formation rates to have a significant tail towards very negative $\alpha_{r_{e}}$ .
The dependence of $\alpha_{r_{e}}$ on specific star-formation rate in EAGLE is a direct consequence of the effect gas accretion has on $\alpha_{r_{e}}$ as described in Collacchioni et al. (Reference Collacchioni, Lagos, Mitchell, Schaye, Wisnioski, Cora and Correa2020), and hence the differences here suggest that gas accretion may be having a lesser or at least different role in modifying metal mixing within galaxies in some of the other simulations included here (e.g. Illustris-TNG100 and Magneticum). It is difficult to pin-point the exact cause for these differences, but we speculate that the fact that outflows behave very differently in these simulations is a likely culprit. Stellar feedback in EAGLE is very effective at removing gas from lower mass galaxies and halos (Davies, Crain, & Pontzen Reference Davies, Crain and Pontzen2020; Mitchell et al. Reference Mitchell, Schaye, Bower and Crain2020) and even significantly decreasing further gas accretion onto halos (Wright et al. Reference Wright, Lagos, Power and Mitchell2020), though at higher masses this role is overtaken by AGN feedback. In contrast, outflows in Illustris-TNG100, for example, generally do not lead to gas escaping from halos, leading to quick reincorporation of the outflowing gas (Nelson et al. Reference Nelson2019; Mitchell et al. Reference Mitchell, Schaye, Bower and Crain2020). In addition to gas accretion and outflows driven by feedback, galaxies with higher velocity dispersions in gas are observed to have shallower or more positive metallicity gradients (Queyrel et al. Reference Queyrel2012), as the velocity dispersion helps to radially mix the gas and metals (Krumholz & Ting Reference Krumholz and Ting2018; Hemler et al. Reference Hemler2020; Sharda et al. Reference Sharda, Krumholz, Wisnioski, Acharyya, Federrath and Forbes2021).
The fact that there are such discrepant predictions among cosmological hydrodynamical simulations presents a great opportunity for MAGPI to place powerful constraints and start to identify areas of tension with the simulations that can hopefully lead to further development in galaxy formation theory. Furthermore, since some of the simulations are calibrated to reproduce specific ‘global’ observables (e.g., galaxy size, black hole mass, stellar mass distribution, etc.), spatially resolved properties offer a greater opportunity to really break the degeneracy between different physical models.
We highlight that the expected well-resolved structures of galaxies in the MAGPI primary sample will allow much more detailed studies than the general trends explored here with cosmological hydrodynamical simulations. We will look for the evolution (by comparison with local surveys) of possible links between morphological features such as bars, spiral arms and disturbances indicative of galaxy mergers, and the 2-dimensional metallicity information of massive galaxies to understand the role of dynamical features on the metal mixing of gas in galaxies (Kreckel et al. Reference Kreckel2019; Zurita et al. Reference Zurita, Florido, Bresolin, Pérez and Pérez-Montero2021).
5. Summary
Galaxies have undergone significant dynamical and morphological evolution over the last 8 billion years of cosmic time ( $0 < z < 1$ ). During this epoch, the overall star-formation activity of galaxies shows a steep decline in both volume density and at fixed stellar mass (Madau & Dickinson Reference Madau and Dickinson2014).
The MAGPI survey is designed to efficiently probe galaxy transformation and the role of nature vs nurture, by combining spatially resolved IFS data with robust environmental metrics at intermediate redshift ( $z \sim 0.3$ ). MAGPI is a VLT/MUSE Large Program to obtain resolved observations of gas and stars at $z=0.25{-}0.35$ in 60 galaxies in a representative range of environments (halo mass) and up to 100 of their neighbouring satellites. MAGPI will also obtain unresolved spectra for a further ${\sim}$ 50 satellites. In addition to observations, the MAGPI survey tightly integrates theoretical models and simulations, including a detailed plan for the production of mock observations.
MAGPI fills a so-far-unexplored region of parameter space (Figure 2): in terms of mapping the properties of stars, it pierces farther than any of the local surveys (e.g. MaNGA, SAMI, CALIFA, $\mathrm{ATLAS}^{\rm 3D}$ , etc.); in terms of mapping gas properties, like K-CLASH it bridges the gap between said surveys and the high-redshift gas-only IFS samples (e.g. KMOS3D, IMAGES, MASSIV, SINS, etc.).
The primary goal of the MAGPI survey is to reveal and understand the physical processes responsible for the rapid transformation of galaxies at intermediate redshift by:
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detecting the impact of environment (Section 2.1);
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understanding the role of gas accretion and merging (Section 2.2);
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determining energy sources and feedback activity (Section 2.3);
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tracing the metal mixing history of galaxies (Section 2.4); and
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producing a comparison-ready theoretical dataset (Section 2.5).
The MAGPI survey design, strategy, and data handling are chosen to address the above science goals (see Section 3). The observational campaign is ongoing, with four MUSE fields having so far been at least partly observed, and two publicly available archive fields. Section 4 showcases some of the early observational and theoretical results of the survey to date, including stellar population measurements and maps (Figure 4), gas-phase metallicity and kinematic maps (Figure 7), stellar kinematic maps (both observed, Figures 4 and 7; and simulated, Figure 6), theoretical predictions for the impact of environment, stellar mass and star formation on metallicity gradients (Figures 9, 10 and 11), and stellar spin (Figures 1 and 8) at $z\sim0.3$ and over cosmic time.
The MAGPI team is committed to a collaborative approach to achieve the survey science goals stated above. This entails regular data releases to maximise community involvement. See the MAGPI Survey webpage https://magpisurvey.org for further and up-to-date information.
Acknowledgements
Based on observations collected at the European Organisation for Astronomical Research in the Southern Hemisphere under ESO program 1104.B-0536, we wish to thank the ESO staff, and in particular the staff at Paranal Observatory, for carrying out the MAGPI observations. Part of this research was conducted by the Australian Research Council Centre of Excellence for All Sky Astrophysics in 3 Dimensions (ASTRO 3D), through project number CE170100013. MAGPI targets were selected from GAMA. GAMA is a joint European-Australasian project based around a spectroscopic campaign using the Anglo-Australian Telescope. GAMA is funded by the STFC (UK), the ARC (Australia), the AAO, and the participating institutions. GAMA photometry is based on observations made with ESO Telescopes at the La Silla Paranal Observatory under programme ID 179.A-2004, ID 177.A-3016. The Magneticum Pathfinder simulations were performed at the Leibniz-Rechenzentrum with CPU time assigned to the Project pr86re and supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2094—390783311. The simulation presented in Taylor & Kobayashi (Reference Taylor and Kobayashi2017) was run on the University of Hertfordshire’s high-performance computing facility. CK acknowledges funding from the UK Science and Technology Facility Council (STFC) through grant ST/M000958/1 & ST/R000905/1, and the Stromlo Distinguished Visitorship at the ANU. CK’s work used the DiRAC Data Centric system at Durham University, operated by the Institute for Computational Cosmology on behalf of the STFC DiRAC High Performance Computing (HPC) Facility (https://dirac.ac.uk). This equipment was funded by a BIS National E- infrastructure capital grant ST/K00042X/1, STFC capital grant ST/K00087X/1, DiRAC Operations grant ST/K003267/1 and Durham University. DiRAC is part of the National E-Infrastructure. AFM acknowledges support of the Postdoctoral Junior Leader Fellowship Programme from ‘La Caixa’ Banking Foundation (LCF/BQ/LI18/11630007). EJJ acknowledges support from FONDECYT Postdoctoral Fellowship Project No. 3180557 and FONDECYT Iniciación 2020 Project No. 11200263. FC acknowledges CONICET, Argentina, and the Australian Endeavour Scholarships and Fellowships for their supporting fellowships. FDE acknowledges funding through the H2020 ERC Consolidator Grant 683184. JvdS acknowledges support of an Australian Research Council Discovery Early Career Research Award (project number DE200100461) funded by the Australian Government. PS is supported by the Australian Government Research Training Program (RTP) Scholarship. RMcD is the recipient of an Australian Research Council Future Fellowship (project number FT150100333). SB acknowledges support from the Australian Research Council under Discovery Project Discovery 180103740. SKY acknowledges support from the Korean National Research Foundation (NRF-2020R1A2C3003769). TMB is supported by an Australian Government Research Training Program Scholarship. YP acknowledges the National Key R&D Program of China, Grant 2016YFA0400702 and National Science Foundation of China (NSFC) Grant No. 11773001, 11721303, 11991052. This work makes use of colour scales chosen from van der Velden (Reference van der Velden2020).
A. MAGPI target list
This section presents information about the MAGPI Survey fields in Table A.1 and postage-stamp KIDS images in Figure B.1. Synthetic images of the archive fields Abell 370 and Abell 2477 are shown in Figure B.2.
B. Simulations description
We provide a short summary of the simulations currently in our suite. We focus on processes that we consider key to MAGPI: gas cooling, interstellar medium modelling, star formation and feedback from stars and supermassive black holes, and defer the reader to the original papers for more details.
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EAGLE Footnote e. Metal radiative cooling is included following Wiersma et al. (Reference Wiersma, Schaye, Theuns, Dalla Vecchia and Tornatore2009); the interstellar medium model of galaxies imposes a polytropic equation of state roughly when the gas cools down to $10^4$ K, to avoid the very short timescales typically associated with the dense gas. Stars form probabilistically from gas that is considered dense enough for its metallicity (Schaye & Dalla Vecchia Reference Schaye and Dalla Vecchia2008). Stellar feedback is modelled also probabilistically as energy injection to neighbouring particles, which heats them up to $10^{7.5}$ K. This temperature is hot enough to mitigate quick radiative losses and therefore aids the formation of galactic winds. AGN feedback is modelled in a similar way (and hence as a single heating mode), but the neighbouring gas particles are heated to a higher temperature of $10^{8.5}\rm \,K$ .
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Magneticum.Footnote f Metals and energy are released by stars of different mass by integrating the evolution of the stellar population (see Dolag, Mevius, & Remus Reference Dolag, Mevius and Remus2017, for details) (in a similar fashion to the other simulations summarised here). The interstellar medium is treated as a two-phase medium where clouds of cold gas form from cooling of hot gas and are embedded in the hot gas phase assuming pressure equilibrium whenever gas particles are above a given threshold density, $n_{\rm H}\approx 0.5\,\rm cm^{-3}$ (Springel & Hernquist Reference Springel and Hernquist2003). This two-phase medium has a similar effect to the polytropic equation of state adopted in EAGLE, in that very short timescales are avoided. Stars form probabilistically at densities in excess of the above density threshold. Stellar feedback is modelled as kinetic energy injection in the form of an isotropic wind that is decoupled from the hydrodynamic calculation for a period of time that is enough as to allow the particles to escape the local interstellar medium. AGN feedback also injects energy, but with two different efficiencies depending on whether black holes are above/below a given Eddington ratio (mimicking a two QSO/radio AGN feedback model). Magneticum additionally follows thermal conduction, similar to Dolag et al. (Reference Dolag, Jubelgas, Springel, Borgani and Rasia2004), but with a choice of 1/20 of the classical Spitzer value (Spitzer 1962; Arth et al. Reference Arth, Dolag, Beck, Petkova and Lesch2014).
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HORIZON-AGN.Footnote g Metal radiative cooling is followed using the cooling tables of Sutherland & Dopita (Reference Sutherland and Dopita1993). Gas can cool down to $10^4$ K, and stars form from gas above a density threshold of $n_{\rm H}\approx 0.1\,\rm cm^{-3}$ . Feedback from stars is modelled as energy injection. AGN feedback is modelled as two modes: a QSO mode, which releases thermal energy in a similar way to how it is done in EAGLE (though particles are heated to a lower temperature, $10^7$ K), and a jet mode that deposits mass, energy, and momentum to a small cylinder into the interstellar medium (which ultimately mimics a bipolar outflow). Whether a black hole is capable of QSO or jet mode feedback depends on its Eddington ratio.
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Illustris-TNG100.Footnote h Solves the equations of magneto-hydrodynamics (rather than the hydrodynamics ones as the three previous simulations). Metal radiative cooling also follows Wiersma et al. (Reference Wiersma, Schaye, Theuns, Dalla Vecchia and Tornatore2009) as in EAGLE and Magneticum, but the radiation field has contributions from both the background UV and AGN, unlike the other simulations that only consider the background field. The interstellar medium and star formation also follow the model of Springel & Hernquist (Reference Springel and Hernquist2003) as in Magneticum. Feedback from stars is modelled similarly to Magneticum, as kinetic energy injection that is accompanied by decoupling kicked particles from the hydrodynamic calculation (with the main difference being different assumptions for the initial wind velocity). AGN feedback is also modelled as two modes: at high accretion rates black holes inject thermal energy, while at low accretion rates, there is kinetic energy injection, similar to what is done with stellar feedback.
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TK15 (Taylor & Kobayashi Reference Taylor and Kobayashi2015; Taylor & Kobayashi Reference Taylor and Kobayashi2017). This simulation adopts gas cooling, star formation, stellar and AGN feedback prescriptions as well as in the other cosmological simulations, but there is an important difference in the AGN seeding, which results in a different impact on the cosmic star-formation rates and stellar populations in galaxies. The main difference with the simulations above is that they included more careful modelling of chemical evolution that considers more sources of chemical pollution. In addition to the standard sources of chemical enrichment included in the other simulations—namely supernovae core collapse and Type Ia, and asymptotic giant branch star winds—TK15 also includes hypernovae using yields from Kobayashi et al. (Reference Kobayashi, Karakas and Umeda2011). This simulation covers a relatively small cosmological volume of $(35.7\,\rm Mpc)^3$ , which is 7–63 times smaller than the other simulations presented in Table 1.