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

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

References in corpus (11)

• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• The S-matrix of String Bound States
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Twisted Bethe equations from a twisted S-matrix
• Coordinate Bethe Ansatz for the String S-Matrix
• Bound States, Yangian Symmetry and Classical r-matrix for the AdS5 x S5 Superstring
• On the Scattering of Magnon Boundstates

Cited by in corpus (8)

• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Two-dimensional S-matrices from unitarity cuts
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Lectures on S-matrices and Integrability
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix