The correlation function of (1, 1) and (2, 2) supersymmetric theories with TT¯ deformation

Abstract

In the paper, we compute the correlation functions in 2D N = (1, 1) and N = (2, 2) superconformal field theories with TT¯ deformation up to the first order of the deformation in terms of perturbation theory. With the help of superconformal Ward identity in N = (1, 1) and N = (2, 2) theories and careful regularization, the correlation functions in the deformed theory can be obtained up to the first order perturbation. This study is the extension from previous bosonic TT¯ deformation to the supersymmetric one.