TT̄-deformed correlators from a 2D gravity description

A bstract We study correlators in two-dimensional TT̄ T T ¯ -deformed conformal field theories by interpreting the TT̄ T T ¯ deformation as a coupling to two-dimensional gravity. To demonstrate the utility of the massive gravity framework as a particular realization of the gravitational interpretation, we show how the TT̄ T T ¯ -deformed correlators at finite coupling can be computed by adopting a judicious parametrization of the 2D metric and a preferred choice of zweibeins. To illustrate how this method works in practice, we compute the leading logarithmic contributions to two- and three-point functions to all orders in the TT̄ T T ¯ coupling, reproducing a known result while producing new findings. This framework generalizes the random geometry approach to finite coupling.