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arXiv · hep-th/0611169

Worldsheet Scattering in AdS_5 x S^5

Thomas Klose·Tristan McLoughlin·Radu Roiban·Konstantin Zarembo
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Abstract

We calculate the S-matrix in the gauge-fixed sigma-model on AdS_5 x S^5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that their action on multi-particle states does not follow the Leibniz rule, which is replaced by a nontrivial coproduct. The plane wave symmetry algebra is thus naturally enhanced to a Hopf algebra. The scattering matrix elements obey the classical Yang-Baxter equation modified by the existence of the coproduct. This structure mirrors that of the large 't Hooft coupling expansion of the S-matrix for the spin chain in the dual super-Yang-Mills theory.

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Thomas Klose, Tristan McLoughlin, Radu Roiban, Konstantin Zarembo. 2007-02-09. Worldsheet Scattering in AdS_5 x S^5. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F094

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