Low Energy Thermodynamics of JT Gravity and Supergravity

Abstract

Aspects of the low energy physics of certain Jackiw-Teitelboim gravity and supergravity theories are explored, using their recently presented non-perturbative description in terms of minimal string models. This regime necessarily involves non-perturbative phenomena, and the inclusion of wormhole geometries connecting multiple copies of the nearly AdS${}_2$ boundary in the computation of ensemble averages of key quantities. A new "replica-scaling" limit is considered, combining the replica method and double scaling with the low energy limit. Using it, the leading free energy, entropy, and specific heat are explored for various examples. Two models of particular note are the JT supergravity theory defined as a (1,2) Altland-Zirnbauer matrix ensemble by Stanford and Witten, and the Saad-Shenker-Stanford matrix model of ordinary JT gravity (non-perturbatively improved at low energy). The full models have a finite non-vanishing spectral density at zero energy. The replica-scaling construction suggests for them a low temperature entropy and specific heat that are linear in temperature.

20 pages, 12 figures, 1 trumpet (v2: discussion improved, references added)

Cited by in corpus (17)

• Wormholes & Holography: An Introduction
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• On Free Energy for Deformed JT Gravity
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Islands in the Stream of Hawking Radiation
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Deconstructing the Wormhole: Factorization, Entanglement and Decoherence
• Constraining Weil-Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity
• $T\bar{T}$ deformation of random matrices
• Low-temperature entropy in JT gravity
• Phase transitions for deformations of JT supergravity and matrix models
• Ensemble averages, Poisson processes and Microstates
• The quantum $p$-spin glass model: A user manual for holographers
• 't Hooft expansion of multi-boundary correlators in 2D topological gravity
• Higher spin wormholes from modular bootstrap
• Quenched free energy from spacetime D-branes