Limits of JT gravity

TL;DR

This paper explores various limits of Jackiw-Teitelboim (JT) gravity, including Newton-Cartan and Carrollian versions, and analyzes their boundary actions and potential applications in lower-dimensional gravity theories.

Contribution

It introduces new limits of JT gravity, derives their boundary actions, and connects them to particle actions and Hamiltonian reductions, expanding the understanding of 2D and 3D gravity models.

Findings

Recovered Schwarzian action for JT gravity

Derived boundary actions for Carrollian and Newton-Cartan limits

Connected boundary conditions to particle actions on group manifolds

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.