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arXiv · 1910.01599

Non-Linear Supersymmetry and $T\bar T$-like Flows

Christian Ferko·Hongliang Jiang·Savdeep Sethi·Gabriele Tartaglino-Mazzucchelli
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Abstract

The $T\bar{T}$ deformation of a supersymmetric two-dimensional theory preserves the original supersymmetry. Moreover, in several interesting cases the deformed theory possesses additional non-linearly realized supersymmetries. We show this for certain $\mathcal N =(2,2)$ models in two dimensions, where we observe an intriguing similarity with known $\mathcal N=1 $ models in four dimensions. This suggests that higher-dimensional models with non-linearly realized supersymmetries might also be obtained from $T\bar{T}$-like flow equations. We show that in four dimensions this is indeed the case for $\mathcal N=1 $ Born-Infeld theory, as well as for the Goldstino action for spontaneously broken $\mathcal N=1 $ supersymmetry.

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Christian Ferko, Hongliang Jiang, Savdeep Sethi, Gabriele Tartaglino-Mazzucchelli. 2019-10-03. Non-Linear Supersymmetry and $T\bar T$-like Flows. https://doi.org/10.1007/jhep02(2020)016

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