Membrane Matrix models and non-perturbative checks of gauge/gravity duality

TL;DR

This paper compares bosonic and supersymmetric membrane models, showing the bosonic membrane aligns with Gaussian matrix models while the supersymmetric one relates to gravity duals, with recent gauge/gravity duality checks.

Contribution

It demonstrates the approximation of bosonic membranes by Gaussian matrix models and discusses progress in verifying gauge/gravity duality for supersymmetric membranes.

Findings

Bosonic membrane approximated by Gaussian matrix models

Supersymmetric membrane linked to gravity duals

Progress in gauge/gravity duality verification

Abstract

We compare the bosonic and maximally supersymmetric membrane models. We find that in Hoppe regulated form the bosonic membrane is well approximated by massive Gaussian quantum matrix models. In contrast the similarly regulated supersymmetric membrane, which is equivalent to the BFSS model, has a gravity dual description. We sketch recent progress in checking gauge/gravity duality in this context.