# Introduction to the AdS/CFT Correspondence

Cambridge University Press, 8/31/2015

EAN 9781107085855, ISBN10: 1107085853

Hardcover, 450 pages, 25.3 x 19.3 x 2.4 cm

Language: English

Providing a pedagogical introduction to the rapidly developing field of AdS/CFT correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of AdS/CFT. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic concepts of field theory and gauge theory, general relativity, supersymmetry, supergravity, string theory and conformal field theory, before moving on to give a clear and rigorous account of AdS/CFT correspondence. The final section discusses the more specialised applications, including QCD, quark-gluon plasma and condensed matter. This book is self-contained and learner-focused, featuring numerous exercises and examples. It is essential reading for both students and researchers across the fields of particle, nuclear and condensed matter physics.

Preface

Introduction

Part I. Background

1. Elements of quantum field theory and gauge theory

2. Basics of general relativity. Anti-de Sitter space

3. Basics of supersymmetry

4. Basics of supergravity

5. KaluzaÃ¢â‚¬â€œKlein dimensional reduction

6. Black holes and p-branes

7. String theory actions and spectra

8. Elements of conformal field theory

9. D-branes

Part II. Basics of AdS/CFT for N = 4 SYM vs AdS5 Ãƒâ€” S5

10. The AdS/CFT correspondence

motivation, definition and spectra

11. Witten prescription and 3-point correlator calculations

12. Holography in Lorentzian signature

PoincarÃƒÂ© and global

13. Solitonic objects in AdS/CFT

14. Quarks and the Wilson loop

15. Finite temperature and N = 4 SYM plasmas

16. Scattering processes and gravitational shockwave limit

17. The pp-wave correspondence

18. Spin chains

Part III. AdS/CFT Developments and Gauge-Gravity Dualities

19. Other conformal cases

20. The 3 dimensional ABJM model vs. AdS4 Ãƒâ€” CP3

21. Gravity duals

22. Holographic renormalization

23. RG flow between fixed points

24. Phenomenological gauge-gravity duality I

AdS/QCD

25. Phenomenological gauge-gravity duality II

AdS/CMT

26. Gluon scattering

the AldayÃ¢â‚¬â€œMaldacena prescription

27. Holographic entanglement entropy

the RyuÃ¢â‚¬â€œTakayanagi prescription.