Dedication

pp v-vi

Contents

pp vii-xiv

Preface

pp xv-xv

Acknowledgments

pp xvi-xvi

Introduction

pp 1-2

Part I - Formalism

pp 3-4

1 - Introduction to general relativity 1: Kinematics and Einstein equations

pp 5-17

2 - Introduction to general relativity 2: Vielbein and spin connection, anti-de Sitter space, black holes

pp 18-29

3 - Introduction to supersymmetry 1:Wess–Zumino models, on-shell and off-shell supersymmetry

pp 30-42

4 - Introduction to supersymmetry 2:Multiplets and extended supersymmetry

pp 43-55

5 - Introduction to supersymmetry 3: Superspace formalism in d = 4: Perturbative susy breaking

pp 56-68

6 - Four-dimensional on-shell supergravity and how to count degrees of freedom

pp 69-78

7 - Three-dimensional N = 1 off-shell supergravity

pp 79-87

8 - Coset theory and rigid superspace

pp 88-99

9 - Covariant formulation of YM in rigid superspace and local superspace formalisms

pp 100-113

10 - N = 1 Four-dimensional off-shell supergravity

pp 114-120

11 - N = 1 Four-dimensional supergravity in superspace

pp 121-127

12 - Superspace actions and coupling supergravity with matter

pp 128-136

13 - Kaluza–Klein (KK)-dimensional reduction and examples

pp 137-147

14 - Spherical harmonics and the KK expansion on sphere, coset, and group spaces

pp 148-161

15 - N = 2 sugra in 4 dimensions, general sugra theories, and N = 1 sugra in 11 dimensions

pp 162-174

Part II - Applications

pp 175-176

16 - AdS7 × S4 nonlinear KK compactification of 11-dimensional supergravity and related notions

pp 177-209

17 - (Abelian and nonabelian) T-dualities and other solution generatingtechniques: TsT, O(d, d), and null Melvin twist

pp 210-222

18 - Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule

pp 223-239

19 - Supersymmetry of solutions, classification via susy algebra, intersecting brane solutions

pp 240-252

20 - U-duality group acting on supergravity theories and on solutions,M theory unification

pp 253-265

21 - Gravity duals: Decoupling limit and Penrose limits on solutions and algebras

pp 266-282

22 - Supersymmetric AdS/CFT gravity dual pairs and their deformations (susy, marginal, integrable)

pp 283-294