Review of AdS/CFT Integrability, Chapter III.2: Exact world-sheet S-matrix

TL;DR

This paper reviews the derivation of the exact world-sheet S-matrix for planar N=4 supersymmetric Yang-Mills theory and type IIB superstring theory on AdS5xS5, highlighting symmetry constraints and spectrum analysis.

Contribution

It provides a comprehensive review of deriving the exact asymptotic S-matrix and Bethe equations using symmetry principles and Bethe ansatz techniques.

Findings

Derivation of the S-matrix for su(2) and su(3) sectors at one-loop.

Identification of the exact asymptotic S-matrix using su(2|2) symmetry.

Relation of bound states to poles of the S-matrix.

Abstract

We review the derivation of the S-matrix for planar N=4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS5xS5 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|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.