Gauge Theory on the Fuzzy Sphere and Random Matrices

TL;DR

This paper formulates Yang-Mills theory on the fuzzy sphere as a multi-matrix model, explores monopole solutions, and applies random matrix techniques for quantization, advancing the understanding of gauge theories in noncommutative geometry.

Contribution

It introduces a novel formulation of gauge theory on the fuzzy sphere using multi-matrix models and employs random matrix methods for quantization.

Findings

Successful formulation of Yang-Mills theory on the fuzzy sphere

Identification of monopole solutions in the model

Application of random matrix techniques for quantization

Abstract

This is a short version of hep-th/0307075, describing the formulation of Yang-Mills theory on the fuzzy sphere as multi-matrix model, its monopole solutions and the quantization using random matrix techniques.