Worldsheet Scattering in AdS_5 x S^5

Details Worldsheet Scattering in AdS_5 x S^5 Worldsheet Scattering in AdS_5 x S^5

2006-11-15

arxiv.org/abs/hep-th/0611169v4

JHEP 0703:094,2007

Physics

High Energy Physics

High Energy Physics - Theory

51 pages, v2: references added, v3: sign in (2.12), (6.19) and (6.21) corrected; v4: discussion of classical YBE is considerab

Scientific paper

10.1088/1126-6708/2007/03/094

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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