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arXiv · 1911.05631

Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations

Hongliang Jiang·Gabriele Tartaglino-Mazzucchelli
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Abstract

We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal N=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the $J\bar{T}/T\bar{J}$ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional $J\bar T /T\bar J$ operator on-shell. We also present some examples of $J\bar T /T\bar J$ flows arising from the supersymmetric deformation of free theories. Finally, we observe that all the deformation operators fit into a general pattern which generalizes the Smirnov-Zamolodchikov type composite operators.

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Hongliang Jiang, Gabriele Tartaglino-Mazzucchelli. 2019-11-13. Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations. https://doi.org/10.1007/jhep05(2020)140

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