Abstract
We review the derivation of the S-matrix for planar \({\fancyscript{N}=4}\) 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|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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Ahn, C., Nepomechie, R.I. Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix. Lett Math Phys 99, 209–229 (2012). https://doi.org/10.1007/s11005-011-0478-9
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DOI: https://doi.org/10.1007/s11005-011-0478-9