Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Introduction
- Part I From Particles to Strings
- Part II TheWorld-Sheet Perspective
- Part III The Space-Time Perspective
- 7 Covariant Quantisation I
- 8 Intermezzo – Representations of the Poincaré Group
- 9 Covariant Quantisation II
- 10 Light-Cone Quantisation
- 11 Partition Functions II
- Part IV Outlook
- Appendix A Notation and Conventions
- Appendix B Units, Constants, and Scales
- Appendix C Fourier Series and Fourier Integrals
- Appendix D Modular Forms and Special Functions
- Appendix E Young Tableaux
- Appendix F Gaussian Integrals and Integral Exponential Function
- Appendix G Lie Algebras, Lie Groups, and Symmetric Spaces
- References
- Index
11 - Partition Functions II
from Part III - The Space-Time Perspective
Published online by Cambridge University Press: 31 March 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Introduction
- Part I From Particles to Strings
- Part II TheWorld-Sheet Perspective
- Part III The Space-Time Perspective
- 7 Covariant Quantisation I
- 8 Intermezzo – Representations of the Poincaré Group
- 9 Covariant Quantisation II
- 10 Light-Cone Quantisation
- 11 Partition Functions II
- Part IV Outlook
- Appendix A Notation and Conventions
- Appendix B Units, Constants, and Scales
- Appendix C Fourier Series and Fourier Integrals
- Appendix D Modular Forms and Special Functions
- Appendix E Young Tableaux
- Appendix F Gaussian Integrals and Integral Exponential Function
- Appendix G Lie Algebras, Lie Groups, and Symmetric Spaces
- References
- Index
Summary
We return to the topic of partition functions, this time from a space-time perspective. Open string partition functions are introduced as generalisations of particle partition functions. Closed string partition functions arise as a further generalisations, or alternatively by using previous results on CFT partition functions. We observe that through modular invariance theories of closed strings have a ‘built-in UV cut-off’.
- Type
- Chapter
- Information
- A Short Introduction to String Theory , pp. 125 - 134Publisher: Cambridge University PressPrint publication year: 2022