Review of AdS/CFT Integrability: An Overview

Niklas Beisert, Changrim Ahn, Luis F. Alday, Zoltán Bajnok, James M. Drummond, Lisa Freyhult, Nikolay Gromov, Romuald A. Janik, Vladimir Kazakov, Thomas Klose, Gregory P. Korchemsky, Charlotte Kristjansen, Marc Magro, Tristan McLoughlin, Joseph A. Minahan, Rafael I. Nepomechie, Adam Rej, Radu Roiban, Sakura Schäfer-Nameki, Christoph SiegMatthias Staudacher, Alessandro Torrielli, Arkady A. Tseytlin, Pedro Vieira, Dmytro Volin, Konstantinos Zoubos

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947 Scopus citations

Abstract

This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection, we present an overview of the achievements and the status of this subject as of the year 2010.

Original languageEnglish
Pages (from-to)3-32
Number of pages30
JournalLetters in Mathematical Physics
Volume99
Issue number1-3
DOIs
StatePublished - Jan 2012

Bibliographical note

Funding Information:
N. Beisert thanks T. Bargheer, M. de Leeuw and L. Lipatov for helpful comments on the manuscript. The work of C. Ahn was supported in part by KRF-2007-313-C00150 and WCU Grant R32-2008-000-10130-0 (CA). R. Janik was supported in part by Polish science funds as a research project N N202 105136 (2009–2011). The work of C. Kristjansen and K. Zoubos was supported by FNU through Grant Number 272-08-0329. The work of R. I. Nepomechie was supported in part by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN). The work of A. Torrielli has been partially supported by EPSRC through Grant No. EP/H000054/1.

Keywords

  • Bethe ansatz
  • duality
  • gauge theory
  • integrability
  • string theory

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