Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity

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, some divergences can be avoided by starting from a relativistic BF theory with (A)dS2 × 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.

Carroll contractions of Lorentz-invariant theories

“…Covariant actions for Carroll gravity in three and two spacetime dimensions in have also been constructed in[37][38][39][40][41][42].…”

Flat space holography in spin-2 extended dilaton-gravity

“…For BF-theory based on higher-spin gauge symmetry in JT gravity see[51][52][53][54][55][56][57][58] 3. For a non-relativistic 2d dilaton-gravity setup see the recent papers[59][60][61].…”

Generalized dilaton gravity in 2d

“…(By contrast, we can have an approximately AdS 2 horizon for w > 3 2 .) The quantity (83) can also be computed in the limits X → 0 and X → ∞. We find σ → 0 in both cases, which means that the center of the spacetime and infinity are constant curvature regions.…”

“…• Other singular limits. Recently, various limits -including non-and ultra-relativistic ones -of the JT model and generalizations thereof were derived [82,83]. The same limits can be applied to generic models (2), as indicated already in [82].…”