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.
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Acknowledgments
We are grateful to Jakob Salzer, Adrien Fiorucci, and Romain Ruzziconi for discussions. FE and DG were supported by the Austrian Science Fund (FWF), projects P 32581, P 33789, P 36619, and W 1252. The work of D.V. was supported in parts by the São Paulo Research Foundation (FAPESP), grant 2021/10128-0, and by the National Council for Scientific and Technological Development (CNPq), grant 304758/2022-1.
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Ecker, F., Grumiller, D., Valcárcel, C. et al. Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals. J. High Energ. Phys. 2023, 151 (2023). https://doi.org/10.1007/JHEP06(2023)151
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DOI: https://doi.org/10.1007/JHEP06(2023)151