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.

arXiv comment5 pages and 3 figures

References in corpus (25)

• 2D Gravity and Random Matrices
• Evanescent Black Holes
• On BMS Invariance of Gravitational Scattering
• Chaos in AdS${}_2$ holography
• An Investigation of AdS${}_2$ Backreaction and Holography
• BMS supertranslations and Weinberg's soft graviton theorem
• Fermionic Localization of the Schwarzian Theory
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• The scattering matrix approach for the quantum black hole, an overview
• On the Numerical Evaluation of Fredholm Determinants
• A holographic reduction of Minkowski space-time
• Gauge Invariant Formulations of Lineal Gravity
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• Flat space holography and complex SYK
• Black hole unitarity and antipodal entanglement
• JT gravity, KdV equations and macroscopic loop operators
• Explorations of Non-Perturbative JT Gravity and Supergravity
• The Black Hole S-Matrix from Quantum Mechanics
• Limits of JT gravity
• New boundary conditions for AdS${}_2$
• Warped Schwarzian theory
• From black holes to baby universes in CGHS gravity
• Phase transitions for deformations of JT supergravity and matrix models
• Mapping SYK to the Sky
• 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