Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
arXiv:2304.08523 · doi:10.1007/JHEP06(2023)151
Abstract
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 a general form of such diffeomorphisms in Lorentzian and Euclidean signatures and use them to extend known holographic results, including the Schwarzian action on the asymptotic boundary, from JT to a large class of dilaton gravity models.
53 pp, 4 figs; v2: 3 refs added, discussion section extended
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