A Celestial Matrix Model

Abstract

We construct a Hermitian random matrix model that provides a stable non-perturbative completion of Cangemi-Jackiw (CJ) gravity, a two-dimensional theory of flat spacetimes. The matrix model reproduces, to all orders in the topological expansion, the Euclidean partition function of CJ gravity with an arbitrary number of boundaries. The non-perturbative completion enables the exact computation of observables in flat space quantum gravity which we use to explicitly characterize the Bondi Hamiltonian spectrum. We discuss the implications of our results for the flat space S-matrix and black holes.

5 pages and 3 figures

References in corpus (4)

• An Investigation of AdS${}_2$ Backreaction and Holography
• JT gravity, KdV equations and macroscopic loop operators
• Phase transitions for deformations of JT supergravity and matrix models
• Quantum Gravity Microstates from Fredholm Determinants

Cited by in corpus (6)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Bridging Carrollian and Celestial Holography
• Near-Extremal Limits of de Sitter Black Holes
• Carrollian conformal scalar as flat-space singleton
• A Solvable Model of Flat Space Holography
• A Matrix Model for Flat Space Quantum Gravity