# The AdS/CFT correspondence

see also D branes, Holography

### books

**D-Branes**

by Clifford Johnson (CUP, 2003)

**Black Holes, Information and the String Theory Revolution**

by Leonard Susskind and James Lindsay (World Scientific Publishing, 2005)

### reviews for beginners

Supersymmetric Gauge Theories and the AdS/CFT Correspondence

by Eric D'Hoker, Daniel Z. Freedman (hep-th/0201253, 145 pages, 14 figures)

This review covers all the basics in detail, with a calculational focus.

Large N Field Theories, String Theory and Gravity

by O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz (hep-th/9905111, 261 pages, 42 figures)

This is the canonical review of AdS/CFT. The gauge-theory perspective is emphasized, but many supergravity issues are also discussed.

### all reviews

Introduction to Gauge/Gravity Duality

by Joseph Polchinski (1010.6134 [hep-th], 43 pages)

Minimal Model Holography

by Matthias R. Gaberdiel, Rajesh Gopakumar (1207.6697 [hep-th], 54 pages, 1 figure)

Recent Progress in Applying Gauge/Gravity Duality to Quark-Gluon Plasma Physics

by Andreas Karch (1108.4014 [hep-th], 8 pages, 2 figures)

The fluid/gravity correspondence

by Veronika E. Hubeny, Shiraz Minwalla, Mukund Rangamani (1107.5780 [hep-th], 41 pages)

Horizons, holography and condensed matter

by Sean A. Hartnoll (1106.4324 [hep-th], 34 pages)

Gauge/String Duality, Hot QCD and Heavy Ion Collisions

by Jorge Casalderrey-Solana, Hong Liu, David Mateos, Krishna Rajagopal, Urs Achim Wiedemann (1101.0618 [hep-th], 292 pages, 72 figures)

TASI lectures: Collisions in anti-de Sitter space, conformal symmetry, and holographic superconductors

by Steven S. Gubser (1012.5312 [hep-th], 26 pages, 5 figures)

The dynamics of quark-gluon plasma and AdS/CFT

by Romuald A. Janik (1003.3291 [hep-th], 35 pages, 3 figures)

Introduction to Holographic Superconductors

by Gary T. Horowitz (1002.1722 [hep-th], 34 pages, 10 figures)

M2-branes and AdS/CFT

by Igor R. Klebanov, Giuseppe Torri (0909.1580 [hep-th], 20 pages, 2 figures)

Holographic duality with a view toward many-body physics

by John McGreevy (0909.0518 [hep-th], 63 pages, many figures)

Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence

by Mukund Rangamani (0905.4352 [hep-th], 60 pages, 3 figures)

Deconfinement and Thermodynamics in 5D Holographic Models of QCD

by Umut Gursoy (0904.2750 [hep-th], 19 pages)

Lectures on Holographic Superfluidity and Superconductivity

by Christopher P. Herzog (0904.1975 [hep-th], 39 pages, 9 figures)

Lectures on holographic methods for condensed matter physics

by Sean A. Hartnoll (0903.3246 [hep-th], 1+85 pages. 15 figures)

Foundations of the AdS_5 x S^5 Superstring. Part I

by Gleb Arutyunov, Sergey Frolov (0901.4937 [hep-th], 161 pages)

From gauge-string duality to strong interactions: a Pedestrian's Guide

by Steven S. Gubser, Andreas Karch (0901.0935 [hep-th], 39 pages)

Partons and jets in a strongly-coupled plasma from AdS/CFT

by Edmond Iancu (0812.0500 [hep-th], 61 pages, 28 figures)

Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence

by Michal P. Heller, Romuald A. Janik, R. Peschanski (0811.3113 [hep-th])

Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence

by Luis F. Alday, Radu Roiban (0807.1889 [hep-th], 100 pages)

Quark Soup al dente: Applied Superstring Theory

by R. C. Myers, S. E. Vazquez (0804.2423 [hep-th], 17 pages, 5 figures)

Lectures on Scattering Amplitudes via AdS/CFT

by Luis F. Alday (0804.0951 [hep-th], 23 pages, 6 figures)

Gauge-String Dualities and Some Applications

by Marcus K. Benna, Igor R. Klebanov (0803.1315 [hep-th], 44 pages)

Introduction to AdS-CFT

by Horatiu Nastase (0712.0689 [hep-th], 133 pages, 13 figures)

Mesons in Gauge/Gravity Duals - A Review

by Johanna Erdmenger, Nick Evans, Ingo Kirsch, Ed Threlfall (0711.4467 [hep-th], 115 pages, 32 figures)

Gauge/gravity duality

by Gary Horowitz and Joseph Polchinski (gr-qc/0602037, 20 pages)

The Gauge/String Correspondence Towards Realistic Gauge Theories

by Emiliano Imeroni (hep-th/0312070, 144 pages, 26 figure)

TASI 2003 Lectures on AdS/CFT

by Juan M. Maldacena (hep-th/0309246, 46 pages)

Maldacena's TASI lectures introduce the AdS/CFT correspondence and in particular the plane-wave limit.

Supergravity duals of supersymmetric four dimensional gauge theories

by F. Bigazzi, A. L. Cotrone, M. Petrini, A. Zaffaroni (hep-th/0303191, 85 pages, 1 figure)

Four Lectures On The Gauge/Gravity Correspondence

by M. Bertolini (hep-th/0303160, 84 pages, 7 figures)

Holographic Renormalization Group

by Masafumi Fukuma, So Matsuura, Tadakatsu Sakai (hep-th/0212314, 90 pages, 6 figures)

The non-AdS/non-CFT correspondence, or three different paths to QCD

by Ofer Aharony (hep-th/0212193, 27 pages)

Enumerative geometry and knot invariants

by Marcos Marino (hep-th/0210145, 69 pages, 13 figures)

Lecture Notes on Holographic Renormalization

by Kostas Skenderis (hep-th/0209067, 42 pages)

D-Branes on the Conifold and N=1 Gauge/Gravity Dualities

by Christopher P. Herzog, Igor R. Klebanov, Peter Ouyang (hep-th/0205100, 40 pages)

Rudiments of Holography

by Enrique Alvarez, Jorge Conde, Lorenzo Hernandez (hep-th/0205075, 60 pages)

Wilson loops in SYM theory: from weak to strong coupling

by Gordon W. Semenoff, K. Zarembo (hep-th/0202156, 32 pages, 5 figures)

Supersymmetric Gauge Theories and the AdS/CFT Correspondence

by Eric D'Hoker, Daniel Z. Freedman (hep-th/0201253, 145 pages, 14 figures)
This review covers all the basics in detail, with a calculational focus.

TASI Lectures: Introduction to the AdS/CFT Correspondence

by Igor R. Klebanov (hep-th/0009139, 36 pages)

Klebanov provides a useful first introduction to the AdS/CFT correspondence.

Aspects of the Gauge Theory -- Gravity Correspondence

by Seif Randjbar-Daemi (hep-th/0004204, 20 pages, 5 figures)

Yang-Mills- and D-instantons

by A.V. Belitsky, S. Vandoren, P. van Nieuwenhuizen (hep-th/0004186, 62 pages)

Lattice Gauge Theories and the AdS/CFT Correspondence

by M. Caselle (hep-th/0003119, 80 pages, 6 figure)

What does the string/gauge correspondence teach us about Wilson loops?

by Jacob Sonnenschein (hep-th/0003032, 47 pages, 13 figures)

TASI Lectures on Branes, Black Holes and Anti-de Sitter Space

by M. J. Duff (hep-th/9912164, 122 pages)

Duff reviews the supergravity aspects of AdS/CFT.

N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence

by Stefano Kovacs (hep-th/9908171, 228 pages)

Large N gauge theories and AdS/CFT correspondence

by Paolo Di Vecchia (hep-th/9908148, 64 pages)

Anti-de Sitter Supersymmetry

by Bernard de Wit, Ivan Herger (hep-th/9908005, 23 pages)

Dynamics of D-brane Black Holes

by Steven S. Gubser (hep-th/9908004, 117 pages)

Large N Field Theories, String Theory and Gravity

by O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz (hep-th/9905111, 261 pages, 42 figures)

This is the canonical review of AdS/CFT. The gauge-theory perspective is emphasized, but many supergravity issues are also discussed.

An introduction to AdS/CFT correspondence

by Paolo Di Vecchia (hep-th/9903007, 7 pages)

Introduction to the Maldacena Conjecture on AdS/CFT

by Jens L. Petersen (hep-th/9902131, 71 pages)

Two Lectures on the AdS/CFT Correspondence

by Michael R. Douglas, S. Randjbar-Daemi (hep-th/9902022)

From Threebranes to Large N Gauge Theories

by Igor R. Klebanov (hep-th/9901018, 20 pages)

### papers

The Large N Limit of Superconformal Field Theories and Supergravity

by Juan M. Maldacena (hep-th/9711200, 20 pages)

the original AdS/CFT paper

Gauge Theory Correlators from Non-Critical String Theory

by S.S. Gubser, I.R. Klebanov, A.M. Polyakov (hep-th/9802109, 15 pages)

Anti De Sitter Space And Holography

by Edward Witten (hep-th/9802150, 40 pages)