Eigenbranes in Jackiw-Teitelboim gravity

TL;DR

This paper links eigenvalues in matrix models of JT gravity to FZZT boundaries, exploring a fixed-eigenvalue ensemble that models finite-volume holographic correlators and quantum chaos.

Contribution

It introduces a fixed-eigenvalue ensemble in JT gravity, connecting matrix eigenvalues to spacetime boundaries and modeling quantum chaotic behavior.

Findings

Eigenvalues correspond to FZZT boundaries in JT gravity.

Fixed-eigenvalue ensemble captures late-time holographic correlator behavior.

Model emulates discrete quantum chaotic systems.

Abstract

It was proven recently that JT gravity can be defined as an ensemble of L x L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then investigate an ensemble of matrices with 1<<N<<L eigenvalues held fixed. This corresponds to a version of JT gravity which includes N FZZT type boundaries in the path integral contour and which is found to emulate a discrete quantum chaotic system. In particular this version of JT gravity can capture the behavior of finite-volume holographic correlators at late times, including erratic oscillations.