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

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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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Authors and Affiliations

  1. Department of Physics and Institute for the Early Universe, Ewha Womans University, Seoul, 120-750, South Korea

    Changrim Ahn

  2. Physics Department, University of Miami, P. O. Box 248046, Coral Gables, FL, 33124, USA

    Rafael I. Nepomechie

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  1. Changrim Ahn
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  2. Rafael I. Nepomechie
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Correspondence to Rafael I. Nepomechie.

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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

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