Fortuitous Chaos, BPS Black Holes, and Random Matrices

TL;DR

This paper explores a simple random matrix model that captures universal features of BPS chaos in JT supergravity, linking topological aspects with black hole microstate descriptions.

Contribution

It introduces a universal random matrix model underlying JT supergravity, connecting BPS chaos with topological and intersection theory interpretations.

Findings

The model interpolates between Bessel and Airy models controlled by gap energy.

It captures essential universal features of fortuitous BPS chaos.

The model has a topological interpretation related to intersection theory.

Abstract

The ``fortuitous'' Bogomol'nyi-Prasad-Sommerfield (BPS) sector states in gauge theory have been argued to furnish a description, through holography, of generic BPS black hole microstates. They are expected to be strongly chaotic, a necessary feature to capture the black hole dynamics. This dovetails nicely with the existence of various random matrix models of JT supergravity with extended supersymmetry, within which the BPS chaos must be contained as a subsector. This paper identifies and studies a simple random matrix model that underlies all known random matrix models of JT supergravity. It is argued that it captures many essential universal features of fortuitous BPS chaos. The model is topological, naturally interpolating between the Bessel and Airy models, where the gap energy $E_0$ controls the interpolation, and seems to have a simple intersection theory interpretation.