We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic AdS3 × S3 × T4 metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. On the supersymmetric locus, we compute the tree-level worldsheet S-matrix in uniform light-cone gauge up to quadratic order in fermions and find that it non-trivially satisfies the classical Yang-Baxter equation. Moreover, imposing classical integrability and symmetries, we conjecture compatible processes quartic in fermions. We also investigate different limits of interest, including trigonometric deformations and the limit to the AdS2 × S2 × T6 superstring. Our results provide strong evidence for a supersymmetric and integrable elliptic deformation of the AdS3 × S3 × T4 superstring supported by Ramond-Ramond flux and a constant dilaton.
Hoare et al. (Thu,) studied this question.