Spherically symmetric monopoles in noncommutative space

TL;DR

This paper develops a model of noncommutative space using fuzzy spheres, constructs a gauge theory including a noncommutative Yang-Mills-Higgs model, and finds numerical monopole solutions within this framework.

Contribution

It introduces a novel spherically symmetric noncommutative space and derives a corresponding gauge theory with monopole solutions, advancing noncommutative geometry and gauge theories.

Findings

Constructed a spherically symmetric noncommutative space with fuzzy spheres.

Derived a noncommutative Yang-Mills-Higgs theory.

Found numerical solutions representing monopoles.

Abstract

We construct a spherically symmetric noncommutative space in three dimensions by foliating the space with concentric fuzzy spheres. We show how to construct a gauge theory in this space and in particular we derive the noncommutative version of a Yang-Mills-Higgs theory. We find numerical monopole solutions of the equations of motion.