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

Changrim Ahn, Rafael Nepomechie

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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 (US)
Pages (from-to)209-229
Number of pages21
JournalLetters in Mathematical Physics
Volume99
Issue number1-3
DOIs
StatePublished - Jan 2012

Fingerprint

AdS/CFT
Integrability
matrices
derivation
Superstring
Bethe Ansatz
Yang-Mills Theory
Yang-Mills theory
Bound States
string theory
Pole
Sector
poles
sectors
Scalar
scalars
Symmetry
Review
symmetry

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Review of AdS/CFT Integrability, Chapter III.2 : Exact World-Sheet S-Matrix. / Ahn, Changrim; Nepomechie, Rafael.

In: Letters in Mathematical Physics, Vol. 99, No. 1-3, 01.2012, p. 209-229.

Research output: Contribution to journalArticle

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