Worldsheet Scattering in AdS_5 x S^5
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.
Cite
@article{arxiv.hep-th/0611169,
title = {Worldsheet Scattering in AdS_5 x S^5},
author = {Thomas Klose and Tristan McLoughlin and Radu Roiban and Konstantin Zarembo},
journal= {arXiv preprint arXiv:hep-th/0611169},
year = {2010}
}
Comments
51 pages, v2: references added, v3: sign in (2.12), (6.19) and (6.21) corrected; v4: discussion of classical YBE is considerably modified