A Celestial Matrix Model

TL;DR

This paper introduces a Hermitian matrix model that non-perturbatively completes CJ gravity, allowing exact calculations of flat space quantum gravity observables and insights into the Bondi Hamiltonian spectrum and black hole physics.

Contribution

It presents a novel Hermitian matrix model providing a non-perturbative completion of CJ gravity, enabling exact computations in flat space quantum gravity.

Findings

Exact Euclidean partition function for CJ gravity with multiple boundaries

Explicit characterization of the Bondi Hamiltonian spectrum

Implications for flat space S-matrix and black hole physics

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.