Emergent 4D Gravity from Matrix Models

TL;DR

This paper discusses how gravity naturally emerges from matrix models of noncommutative gauge theory, with an effective metric influenced by the dynamical Poisson structure, and shows that the gravity action is induced through quantization.

Contribution

It demonstrates the emergence of a gravity theory from matrix models of noncommutative gauge theory, linking the effective metric to the Poisson structure and quantization.

Findings

Gravity emerges from matrix models of noncommutative gauge theory.

The effective metric depends on the dynamical Poisson structure.

The gravity action is induced upon quantization.

Abstract

Recent progress in the understanding of gravity on noncommutative spaces is discussed. A gravity theory naturally emerges from matrix models of noncommutative gauge theory. The effective metric depends on the dynamical Poisson structure, absorbing the degrees of freedom of the would-be U(1) gauge field. The gravity action is induced upon quantization.