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arXiv · 1811.00533

On $T\bar{T}$ deformations and supersymmetry

Marco Baggio·Alessandro Sfondrini·Gabriele Tartaglino-Mazzucchelli·Harriet Walsh
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Abstract

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

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Marco Baggio, Alessandro Sfondrini, Gabriele Tartaglino-Mazzucchelli, Harriet Walsh. 2019-06-13. On $T\bar{T}$ deformations and supersymmetry. https://doi.org/10.1007/jhep06(2019)063

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