Heat kernel expansion and induced action for matrix models

TL;DR

This paper reviews recent findings on the quantum effective action of matrix models, focusing on emergent gravity, UV/IR mixing, supersymmetry breaking, and connections to string theory and supergravity.

Contribution

It provides new insights into the effective action of supersymmetric matrix models and their implications for emergent gravity and related theories.

Findings

Absence of pathological UV/IR mixing in the models

Discussion of dynamical supersymmetry breaking

Relations established with string theory and supergravity

Abstract

In this proceeding note, I review some recent results concerning the quantum effective action of certain matrix models, i.e. the supersymmetric IKKT model, in the context of emergent gravity. The absence of pathological UV/IR mixing is discussed, as well as dynamical SUSY breaking and some relations with string theory and supergravity.