Matrix Models, Emergent Gravity, and Gauge Theory

TL;DR

Matrix models of Yang-Mills type can generate an effective gravity theory on 4D branes, where the metric and gauge fields emerge dynamically, offering insights into the nature of space-time and vacuum energy protection.

Contribution

This paper reviews recent advances in understanding how matrix models induce emergent gravity and gauge fields on branes, highlighting the semi-classical emergence of geometry.

Findings

Effective metric arises in semi-classical limit

Emergent gauge fields accompany gravity

Mechanism protects certain geometries from vacuum energy corrections

Abstract

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism for protecting certain geometries from corrections due to the vacuum energy.