Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- 1 Introduction to general relativity 1: Kinematics and Einstein equations
- 2 Introduction to general relativity 2: Vielbein and spin connection, anti-de Sitter space, black holes
- 3 Introduction to supersymmetry 1:Wess–Zumino models, on-shell and off-shell supersymmetry
- 4 Introduction to supersymmetry 2:Multiplets and extended supersymmetry
- 5 Introduction to supersymmetry 3: Superspace formalism in d = 4: Perturbative susy breaking
- 6 Four-dimensional on-shell supergravity and how to count degrees of freedom
- 7 Three-dimensional N = 1 off-shell supergravity
- 8 Coset theory and rigid superspace
- 9 Covariant formulation of YM in rigid superspace and local superspace formalisms
- 10 N = 1 Four-dimensional off-shell supergravity
- 11 N = 1 Four-dimensional supergravity in superspace
- 12 Superspace actions and coupling supergravity with matter
- 13 Kaluza–Klein (KK)-dimensional reduction and examples
- 14 Spherical harmonics and the KK expansion on sphere, coset, and group spaces
- 15 N = 2 sugra in 4 dimensions, general sugra theories, and N = 1 sugra in 11 dimensions
- Part II Applications
- References
- Index
15 - N = 2 sugra in 4 dimensions, general sugra theories, and N = 1 sugra in 11 dimensions
from Part I - Formalism
Published online by Cambridge University Press: 14 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- 1 Introduction to general relativity 1: Kinematics and Einstein equations
- 2 Introduction to general relativity 2: Vielbein and spin connection, anti-de Sitter space, black holes
- 3 Introduction to supersymmetry 1:Wess–Zumino models, on-shell and off-shell supersymmetry
- 4 Introduction to supersymmetry 2:Multiplets and extended supersymmetry
- 5 Introduction to supersymmetry 3: Superspace formalism in d = 4: Perturbative susy breaking
- 6 Four-dimensional on-shell supergravity and how to count degrees of freedom
- 7 Three-dimensional N = 1 off-shell supergravity
- 8 Coset theory and rigid superspace
- 9 Covariant formulation of YM in rigid superspace and local superspace formalisms
- 10 N = 1 Four-dimensional off-shell supergravity
- 11 N = 1 Four-dimensional supergravity in superspace
- 12 Superspace actions and coupling supergravity with matter
- 13 Kaluza–Klein (KK)-dimensional reduction and examples
- 14 Spherical harmonics and the KK expansion on sphere, coset, and group spaces
- 15 N = 2 sugra in 4 dimensions, general sugra theories, and N = 1 sugra in 11 dimensions
- Part II Applications
- References
- Index
Summary
N = 2 supergravity in four dimensions is defined, and the related special geometry is defined. First one starts with the rigid susy case, then special geometry is defined, and then the subset of very-special geometry and associated duality symmetries are defined. The general properties of other, more general supergravity theories (with more susy or in higher dimensions) are described. The unique N = 1 11-dimensional supergravity theory is described. We end with some comments on off-shell and superspace models in the more general cases.
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- Introduction to Supergravity and its Applications , pp. 162 - 174Publisher: Cambridge University PressPrint publication year: 2024