S-matrix for magnons in the D1-D5 system

Details S-matrix for magnons in the D1-D5 system S-matrix for magnons in the D1-D5 system

2010-05-04

arxiv.org/abs/1005.0501v4

JHEP 1010:112,2010

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, Latex, Role of Virasoro constraints clarified, version matches with published version

Scientific paper

10.1007/JHEP10(2010)112

We show that integrability and symmetries of the near horizon geometry of the D1-D5 system determine the S-matrix for the scattering of magnons with polarizations in AdS3 $\times$ S3 completely up to a phase. Using semi-classical methods we evaluate the phase to the leading and to the one-loop approximation in the strong coupling expansion. We then show that the phase obeys the unitarity constraint implied by the crossing relations to the one-loop order. We also verify that the dispersion relation obeyed by these magnons is one-loop exact at strong coupling which is consistent with their BPS nature.

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