Limits of JT gravity
Daniel Grumiller, Jelle Hartong, Stefan Prohazka, Jakob Salzer
Abstract
A bstract 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.
Topics & Concepts
PhysicsBoundary (topology)DilatonBoundary value problemHamiltonian (control theory)Action (physics)Manifold (fluid mechanics)Classical mechanicsConnection (principal bundle)Mathematical physicsf(R) gravityTheoretical physicsMassive gravityEffective actionGravitationQuantum gravityDiffeomorphismBoundary conformal field theoryDifferential geometryBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories