Matrix Thermalization

TL;DR

This paper constructs a fully nonlinear supergravity solution for a collapsing shell in matrix quantum mechanics, enabling detailed study of thermalization processes and boundary correlators in holographic duality.

Contribution

It provides the first explicit nonlinear supergravity solution for a collapsing shell in matrix holography and develops holographic renormalization for thermal correlators.

Findings

Explicit supergravity solution for collapsing shell

Method for computing thermal two-point functions

Insights into thermalization in matrix holography

Abstract

Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing shell solutions in the gravitational bulk correspond in this setting to thermalization processes in the dual quantum mechanical theory. We construct an explicit, fully nonlinear supergravity solution describing a generic collapsing dilaton shell, specify the holographic renormalization prescriptions necessary for computing the relevant boundary observables, and apply them to evaluating thermalizing two-point correlation functions in the dual matrix theory.