Abstract
We investigate the “ Toverline{T} ” deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the Toverline{T} deforming operator can be constructed as a super-symmetric descendant. Here we focus on mathcal{N} = left(1,0right) and mathcal{N} = left(1,1right) supersymmetry. As an example, we analyse in detail the Toverline{T} deformation of a free mathcal{N} = left(1,0right) supersymmetric action. We also argue that the link between Toverline{T} 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 Toverline{T} deformation of a free theory of eight mathcal{N} = left(1,1right) scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of Toverline{T} deformations that have recently been discussed in the literature.
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