Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix

Changrim Ahn, Rafael I. Nepomechie

Research output: Contribution to journalReview articlepeer-review

17 Scopus citations


We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

Original languageEnglish
Pages (from-to)209-229
Number of pages21
JournalLetters in Mathematical Physics
Issue number1-3
StatePublished - Jan 2012

Bibliographical note

Funding Information:
We thank N. Beisert for his helpful comments. This work was supported in part by KRF-2007-313-C00150 and WCU grant R32-2008-000-10130-0 (CA), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).


  • AdS/CFT
  • Bethe ansatz
  • Yang-Baxter equation
  • exact S-matrix


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