Non-Perturbative Random Matrix Model of ${\cal N}=2$ JT Supergravity

TL;DR

This paper develops a non-perturbative random matrix model for ${ abla}2$ JT supergravity, capturing key physics beyond perturbative expansions, including BPS states and spectral densities of non-BPS multiplets.

Contribution

It introduces a non-perturbative matrix model for ${ abla}2$ JT supergravity, extending previous perturbative approaches and deriving a differential equation for physics computation.

Findings

Non-perturbative spectral densities for non-BPS multiplets extracted

Model naturally describes BPS states within the supergravity framework

Decomposition into multicritical models enables new computational methods

Abstract

It is shown how to non-perturbatively define a random matrix model that captures key physics of ${\cal N}{=}2$ Jackiw-Teitelboim (JT) supergravity, going well beyond the perturbative topological expansion defined recently by Turiaci and Witten. A decomposition into an infinite family of certain multicritical models is derived, leading to the definition of a non-linear differential equation from which the physics may be computed. BPS states are naturally described by the model. The non-perturbative completions of the spectral densities for non-BPS multiplets are readily extracted.