We construct a family of type IIB string backgrounds that are deformations of AdS3 × S 3 × T 4 with a “squashed” AdS3 × S 3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to N = 2 supersymmetric AdS2 × S 2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS3 × S 3 × 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 AdS3 × S 3 supercoset model.
Hoare, B., Seibold, F. K., & Tseytlin, A. A. (2022). Integrable supersymmetric deformations of AdS3 × S3 × T4. Journal of High Energy Physics, 2022(9), Article 18. https://doi.org/10.1007/jhep09%282022%29018