Limits of JT gravity

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Abstract

We construct various limits of JT gravity, including Newton-Cartan and Carrollian versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional light cone. In the BF formulation our boundary conditions relate boundary connection with boundary scalar, yielding as boundary action the particle action on a group manifold or some Hamiltonian reduction thereof. After recovering in our formulation the Schwarzian for JT, we show that AdS-Carroll gravity yields a twisted warped boundary action. We comment on numerous applications and generalizations.

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Grumiller, D., Hartong, J., Prohazka, S., & Salzer, J. (2021). Limits of JT gravity. Journal of High Energy Physics, 2021(2). https://doi.org/10.1007/JHEP02(2021)134

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