On TT deformations and supersymmetry

We investigate the “ TT ” deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the TT deforming operator can be constructed as a super-symmetric descendant. Here we focus on 𝒩 = (1,0) and 𝒩 = (1,1) supersymmetry. As an example, we analyse in detail the TT deformation of a free 𝒩 = (1,0) supersymmetric action. We also argue that the link between TT and string theory can be extended to su-perstrings: by analysing the light-cone gauge fixing for superstrings in flat space, we show the correspondence of the string action to the TT deformation of a free theory of eight 𝒩 = (1,1) scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of TT deformations that have recently been discussed in the literature.