A Solvable Model of Flat Space Holography

TL;DR

This paper presents a fully solvable model of flat space holography in two dimensions, connecting a novel supergravity theory in the bulk with a double-scaled Hermitian matrix model on the boundary, enabling exact computations in flat space quantum gravity.

Contribution

It introduces a new $ abla=1$ flat space supergravity theory and demonstrates its duality with a solvable matrix model, providing a complete framework for flat space holography.

Findings

Exact computation of the bulk partition function to all orders

Boundary matrix model reproduces bulk results via loop equations

Non-perturbative completion allows analytic observable calculations

Abstract

We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat space supergravity theory and exactly compute the full topological expansion of its Euclidean partition function with an arbitrary number of boundaries. On the boundary, we consider a double scaled Hermitian random matrix model with Gaussian potential and use the loop equations to show it independently reproduces the bulk partition function to all orders in the topological expansion. The non-perturbative completion of the supergravity theory provided by the solvable Gaussian matrix model allows for the exact, and in many cases analytic, computation of observables in flat space quantum gravity.