TT ̄deformations with N = (0,2) supersymmetry

We investigate the behavior of two-dimensional quantum field theories with N = (0,2) supersymmetry under a deformation induced by the "TT ̄ " composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N = (0,2) supersymmetry. As an example of this construction, we work out the deformation of a free N = (0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N = (0,2) supersymmetric deformed action actually possesses N = (2,2) symmetry, half of which is nonlinearly realized.