Review of AdS/CFT Integrability: An Overview

Matthias Staudacher , Christoph Sieg

MSC 2000

37K15 Integration of completely integrable systems by inverse spectral and scattering methods

81T30 String and superstring theories; other extended objects

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.