Gravitational perturbations as T(T)over-bar-deformations in 2D dilaton gravity systems

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into T (T) over bar -deformations (at least) under certain conditions, where T means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604]. (C) 2019 The Authors. Published by Elsevier B.V.