# JT gravity as a matrix integral

@article{Saad2019JTGA, title={JT gravity as a matrix integral}, author={Phil Saad and Stephen H. Shenker and Douglas Stanford}, journal={arXiv: High Energy Physics - Theory}, year={2019} }

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The boundaries are of the type relevant in the NAdS${}_2$/NCFT${}_1$ correspondence. We show that the partition functions correspond to the genus expansion of a certain matrix integral. A key fact is that Mirzakhani's recursion relation for Weil-Petersson volumes maps directly onto the Eynard-Orantin "topological recursion…

## 328 Citations

JT gravity at finite cutoff

- Physics
- 2020

We compute the partition function of $2D$ Jackiw-Teitelboim (JT) gravity at finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt wave-functional in radial quantization and…

JT gravity, KdV equations and macroscopic loop operators

- PhysicsJournal of High Energy Physics
- 2020

We study the thermal partition function of Jackiw-Teitelboim (JT) gravity in asymptotically Euclidean AdS 2 background using the matrix model description recently found by Saad, Shenker and Stanford…

JT gravity and the ensembles of random matrix theory

- PhysicsAdvances in Theoretical and Mathematical Physics
- 2020

We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions…

A universe field theory for JT gravity

- Physics, Mathematics
- 2022

We present a field theory description for the non-perturbative splitting and joining of baby universes in Euclidean Jackiw-Teitelboim (JT) gravity. We show how the gravitational path integral,…

Low-dimensional de Sitter quantum gravity

- Geology, Physics
- 2019

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories…

Gravity as an ensemble and the moment problem

- Mathematics
- 2021

If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem can be solved. We…

On 2D gauge theories in Jackiw-Teitelboim gravity

- Physics
- 2019

The low-energy behavior of near-extremal black holes can be understood from the near-horizon AdS_2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to…

PUPT-2598 On 2 D gauge theories in Jackiw-Teitelboim gravity

- Physics
- 2019

The low-energy behavior of near-extremal black holes can be understood from the nearhorizon AdS2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to…

Higher spin JT gravity and a matrix model dual

- Mathematics
- 2022

We propose a generalization of the Saad-Shenker-Stanford duality relating matrix models and JT gravity to the case in which the bulk includes higher spin ﬁelds. Using a PSL p N, R q BF theory we…

Deformations of JT gravity via topological gravity and applications

- PhysicsJournal of High Energy Physics
- 2021

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…

## References

SHOWING 1-10 OF 137 REFERENCES

The Annular Report on Non-Critical String Theory

- Physics
- 2003

Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to $c\le…

Developments in topological gravity

- MathematicsInternational Journal of Modern Physics A
- 2018

This note aims to provide an entrée to two developments in two-dimensional topological gravity — that is, intersection theory on the moduli space of Riemann surfaces — that have not yet become well…

Solving the Schwarzian via the conformal bootstrap

- Physics
- 2017

A bstractWe obtain exact expressions for a general class of correlation functions in the 1D quantum mechanical model described by the Schwarzian action, that arises as the low energy limit of the SYK…

A theory of reparameterizations for AdS3 gravity

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of)…

The factorization problem in Jackiw-Teitelboim gravity

- PhysicsJournal of High Energy Physics
- 2020

In this note we study the 1 + 1 dimensional Jackiw-Teitelboim gravity in Lorentzian signature, explicitly constructing the gauge-invariant classical phase space and the quantum Hilbert space and…

Geometry of the string equations

- Physics
- 1990

The string equations of hermitian and unitary matrix models of 2D gravity are flatness conditions. These flatness conditions may be interpreted as the consistency conditions for isomonodromic…

Menagerie of AdS2 boundary conditions

- Mathematics
- 2017

A bstractWe consider different sets of AdS2 boundary conditions for the Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary…

Fine structure of Jackiw-Teitelboim quantum gravity

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact…