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arXiv · 1005.0501

S-matrix for magnons in the D1-D5 system

Justin R. David·Bindusar Sahoo
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Abstract

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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Justin R. David, Bindusar Sahoo. 2010-11-05. S-matrix for magnons in the D1-D5 system. https://doi.org/10.1007/jhep10(2010)112

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