Integrable supersymmetric deformations of AdS3x S3x T4

We construct a family of type IIB string backgrounds that are deformations of AdS(3)x S(3)x T-4 with a "squashed" AdS(3)x S-3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) x SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to N = 2 supersymmetric AdS(2)x S-2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS(3)x S(3)x T-4 background by a combination of T-dualities and S-duality. In contrast to T-duality, S-duality transformations of a type IIB supergravity background do not generally preserve the classical integrability of the corresponding Green-Schwarz superstring sigma model. Nevertheless, we show that integrability is preserved in the present case. Indeed, we find that these backgrounds can be obtained, up to T-dualities, from an integrable inhomogeneous Yang-Baxter deformation (with unimodular Drinfel'd-Jimbo R-matrix) of the original AdS(3)x S-3 supercoset model.