Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- Part I Introduction to gravity and supergravity
- 1 Differential geometry
- 2 Symmetries and Noether's theorems
- 3 A perturbative introduction to general relativity
- 4 Action principles for gravity
- 5 Pure N = 1, 2, d = 4 supergravities
- 6 Matter-coupled N = 1, d = 4 supergravity
- 7 Matter-coupled N = 2, d = 4 supergravity
- 8 A generic description of all the N ≥ 2, d = 4 SUEGRAs
- 9 Matter-coupled N = 1, d = 5 supergravity
- 10 Conserved charges in general relativity
- Part II Gravitating Point-Particles
- Part III Gravitating extended objects of string theory
- Appendix A Lie groups, symmetric spaces, and Yang–Mills fields
- Appendix B The irreducible, non-symmetric Riemannian spaces of special holonomy
- Appendix C Miscellanea on the symplectic group
- Appendix D Gamma matrices and spinors
- Appendix E Kähler geometry
- Appendix F Special Kähler geometry
- Appendix G Quaternionic-Kähler geometry
- Appendix H Real special geometry
- Appendix I The generic scalar manifolds of N ≥ 2, d = 4 SUEGRAs
- Appendix J Gauging isometries of non-linear σ-models
- Appendix K n-spheres
- Appendix L Palatini's identity
- Appendix M Conformal rescalings
- Appendix N Connections and curvature components
- Appendix O The harmonic operator on ℝ3 × S1
- References
- Index
1 - Differential geometry
from Part I - Introduction to gravity and supergravity
Published online by Cambridge University Press: 05 April 2015
Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- Part I Introduction to gravity and supergravity
- 1 Differential geometry
- 2 Symmetries and Noether's theorems
- 3 A perturbative introduction to general relativity
- 4 Action principles for gravity
- 5 Pure N = 1, 2, d = 4 supergravities
- 6 Matter-coupled N = 1, d = 4 supergravity
- 7 Matter-coupled N = 2, d = 4 supergravity
- 8 A generic description of all the N ≥ 2, d = 4 SUEGRAs
- 9 Matter-coupled N = 1, d = 5 supergravity
- 10 Conserved charges in general relativity
- Part II Gravitating Point-Particles
- Part III Gravitating extended objects of string theory
- Appendix A Lie groups, symmetric spaces, and Yang–Mills fields
- Appendix B The irreducible, non-symmetric Riemannian spaces of special holonomy
- Appendix C Miscellanea on the symplectic group
- Appendix D Gamma matrices and spinors
- Appendix E Kähler geometry
- Appendix F Special Kähler geometry
- Appendix G Quaternionic-Kähler geometry
- Appendix H Real special geometry
- Appendix I The generic scalar manifolds of N ≥ 2, d = 4 SUEGRAs
- Appendix J Gauging isometries of non-linear σ-models
- Appendix K n-spheres
- Appendix L Palatini's identity
- Appendix M Conformal rescalings
- Appendix N Connections and curvature components
- Appendix O The harmonic operator on ℝ3 × S1
- References
- Index
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- Gravity and Strings , pp. 3 - 28Publisher: Cambridge University PressPrint publication year: 2015
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