TT Deformation of Stress-Tensor Correlators from Random Geometry
Abstract
We study stress-tensor correlators in the TT-deformed conformal field theories in two dimensions. Using the random geometry approach to the TT deformation, we develop a geometrical method to compute stress-tensor correlators. More specifically, we derive the TT deformation to the Polyakov-Liouville conformal anomaly action and calculate three and four-point correlators to the first-order in the TT deformation from the deformed Polyakov-Liouville action. The results are checked against the standard conformal perturbation theory computation and we further check consistency with the TT-deformed operator product expansions of the stress tensor. A salient feature of the TT-deformed stress-tensor correlators is a logarithmic correction that is absent in two and three-point functions but starts appearing in a four-point function.