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Introduction to the AdS/CFT Correspondence

Introduction to the AdS/CFT Correspondence

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Horaiu Nstase
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. Kaluza–Klein 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 × S5
10. The AdS/CFT correspondence
motivation, definition and spectra
11. Witten prescription and 3-point correlator calculations
12. Holography in Lorentzian signature
Poincaré 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 × 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 Alday–Maldacena prescription
27. Holographic entanglement entropy
the Ryu–Takayanagi prescription.