Non-linear supersymmetry and T T ¯ $$ T\overline{T} $$ -like flows

Abstract

Abstract The T T ¯ $$ T\overline{T} $$ 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 N $$ \mathcal{N} $$ = (2, 2) models in two dimensions, where we observe an intriguing similarity with known N $$ \mathcal{N} $$ = 1 models in four dimensions. This suggests that higher-dimensional models with non-linearly realized supersymmetries might also be obtained from T T ¯ $$ T\overline{T} $$ -like flow equations. We show that in four dimensions this is indeed the case for N $$ \mathcal{N} $$ = 1 Born-Infeld theory, as well as for the Goldstino action for spontaneously broken N $$ \mathcal{N} $$ = 1 supersymmetry.

Keywords

• Extended Supersymmetry
• Superspaces
• Supersymmetry Breaking
• Supersymmetric Gauge Theory