The multitrace matrix model: An alternative to Connes NCG and IKKT model

TL;DR

This paper introduces a multitrace matrix model that simplifies the emergence of fuzzy spheres and non-commutative gauge theories, offering an alternative to existing complex models like Connes NCG and IKKT.

Contribution

It proposes a new multitrace matrix model that dynamically generates fuzzy spheres and gauge theories, simplifying the approach to emergent geometry in two dimensions.

Findings

Demonstrates dynamical emergence of fuzzy two-sphere

Provides a simpler alternative to Connes NCG and IKKT models

Models exhibit non-commutative gauge theory features

Abstract

We present a new multitrace matrix model, which is a generalization of the real quartic one matrix model, exhibiting dynamical emergence of a fuzzy two-sphere and its non-commutative gauge theory. This provides a novel and a much simpler alternative to Connes non-commutative geometry and to the IKKT matrix model for emergent geometry in two dimensions.