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

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.

43 pages