Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals

A bstract Dilaton gravities in two dimensions can be formulated as particular Poisson sigma models. Target space diffeomorphisms map different models to each other and establish a one-to-one correspondence between their classical solutions. We obtain general form of such Lorentzian Euclidean signatures use them extend known holographic results, including the Schwarzian action on asymptotic boundary, from JT large class dilaton gravity