Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity

Nov 30, 2020
44 pages
Published in:
  • JHEP 05 (2021) 162
  • Published: May 19, 2021
e-Print:

Citations per year

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Abstract: (Springer)
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, some divergences can be avoided by starting from a relativistic BF theory with (A)dS2_{2} × 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.
Note:
  • 44 pages, typos corrected
  • 2D Gravity
  • Classical Theories of Gravity
  • Space-Time Symmetries
  • Topological Field Theories
  • gravitation: duality
  • charge: conservation law
  • algebra: gauge
  • representation: nonlinear
  • model: nonrelativistic
  • geometry: Cartan