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Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity

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arxiv 2011.15053 v2 pith:WOZIETCZ submitted 2020-11-30 hep-th

Joaquim Gomis , Diego Hidalgo , Patricio Salgado-Rebolledo This is my paper · ORCID
classification hep-th
keywords carrolliannon-relativisticgravitydivergencesjackiw-teitelboimlimitsordertheory
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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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Cited by 4 Pith papers

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