Three-parameter deformation of ℝ × S3 in the Landau-Lifshitz limit

Abstract

In this article we construct the effective field theory associated to the ℝ × S3 sector of the three-parameter deformation of AdS3 × S3 × T4 in the Landau-Lifshitz approximation. We use this action to compute the dispersion relation of excitations around the BMN vacuum and the perturbative S-matrix associated to them. We are able to compute and sum all the different loop contributions to the S-matrix in this limit.

On quantum deformations of AdS3 × S3 × T4 and mirror duality

“…Similar observations were made regarding the effect of different choices of real form underlying inhomogeneous deformations, in[32] 5. Further related work on a subsector of the three-parameter deformed bosonic S matrix recently appeared in[34].…”