Deformations of JT Gravity via Topological Gravity and Applications

Abstract

We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating function of topological gravity correlators that are determined as solutions to the KdV hierarchy. We specialise to those deformations of JT gravity coupled to a gas of defects, which conforms with known results in the literature. We express the (asymptotic) thermal partition functions in a low temperature limit, in which non-perturbative corrections are suppressed and the thermal partition function becomes exact. In this limit we demonstrate that there is a Hawking-Page phase transition between connected and disconnected surfaces for this instance of JT gravity with a transition temperature affected by the presence of defects. Furthermore, the calculated spectral form factors show the qualitative behaviour expected for a Hawking-Page phase transition. The considered deformations cause the ramp to be shifted along the real time axis. Finally, we comment on recent results related to conical Weil-Petersson volumes and the analytic continuation to two-dimensional de Sitter space.

42 pages, 4 figures; v2: minor modifications

References in corpus (18)

• An Investigation of AdS${}_2$ Backreaction and Holography
• JT gravity as a matrix integral
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Liouville quantum gravity -- holography, JT and matrices
• Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
• Free Energy from Replica Wormholes
• JT gravity, KdV equations and macroscopic loop operators
• Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Explorations of Non-Perturbative JT Gravity and Supergravity
• JT Supergravity, Minimal Strings, and Matrix Models
• Vacuum decay into Anti de Sitter space
• Deformations of JT Gravity and Phase Transitions
• On Free Energy for Deformed JT Gravity
• Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
• JT supergravity and Brezin-Gross-Witten tau-function
• Non-Perturbative JT Gravity
• A proof of loop equations in 2d topological gravity

Cited by in corpus (3)

• A universe field theory for JT gravity
• Baby universes, ensemble averages and factorizations with matters
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime