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

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

2010-12-17

arxiv.org/abs/1012.3991v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: references added and minor

Scientific paper

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.

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