Integrable deformations of Z2 and Z4 permutation cosets

Abstract

Strings on certain AdS₃ space-times are described by integrable 2d sigma models on Z₂ and Z₄ permutation cosets with G x G symmetry group. The product structure of the symmetry group leads to a richer space of integrable deformations. In this talk I will outline recent progress in mapping out this space, before discussing a special class of deformations of AdS₃ x S³ x T⁴ that preserve half the supersymmetry. Interestingly, these deformations can either be found via Yang-Baxter deformations, proving their integrability, or by U-duality transformations.