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arXiv · 2011.15053

Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity

Joaquim Gomis·Diego Hidalgo·Patricio Salgado-Rebolledo
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Abstract

We construct the non-relativistic and Carrollian versions of Jackiw-Teitelboim gravity. In the second order formulation, there are no divergences in the non-relativistic and Carrollian limits. Instead, in the first order formalism there are divergences that can be avoided by starting from a relativistic BF theory with (A)dS2$\times\mathbb{R}$ gauge algebra. We show how to define the boundary duals of the gravity actions using the method of non-linear realisations and suitable Inverse Higgs constraints. In particular, the non-relativistic version of the Schwarzian action is constructed in this way. We derive the asymptotic symmetries of the theory, as well as the corresponding conserved charges and Newton-Cartan geometric structure. Finally, we show how the same construction applies to the Carrollian case.

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Joaquim Gomis, Diego Hidalgo, Patricio Salgado-Rebolledo. 2020-12-16. Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity. https://doi.org/10.1007/jhep05(2021)162

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