Abstract
We investigate the “\( T\overline{T} \)” deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the \( T\overline{T} \) deforming operator can be constructed as a super-symmetric descendant. Here we focus on \( \mathcal{N} = \left(1,0\right) \) and \( \mathcal{N} = \left(1,1\right) \) supersymmetry. As an example, we analyse in detail the \( T\overline{T} \) deformation of a free \( \mathcal{N} = \left(1,0\right) \) supersymmetric action. We also argue that the link between \( T\overline{T} \) 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 \( T\overline{T} \) deformation of a free theory of eight \( \mathcal{N} = \left(1,1\right) \) scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of \( T\overline{T} \) deformations that have recently been discussed in the literature.
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Baggio, M., Sfondrini, A., Tartaglino-Mazzucchelli, G. et al. On \( T\overline{T} \) deformations and supersymmetry. J. High Energ. Phys. 2019, 63 (2019). https://doi.org/10.1007/JHEP06(2019)063
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DOI: https://doi.org/10.1007/JHEP06(2019)063