Half-Monopole and Multimonopole

TL;DR

This paper presents exact SU(2) Yang-Mills-Higgs monopole solutions with half-integer topological charge, including isolated half-monopoles and multimonopoles, satisfying Bogomol'nyi equations and exhibiting singularities and symmetries.

Contribution

It introduces new exact solutions for half-integer topological charge monopoles in SU(2) Yang-Mills-Higgs theory, expanding understanding of monopole configurations.

Findings

Exact solutions for half-integer topological charge monopoles.

Solutions satisfy Bogomol'nyi equations and exhibit singularities.

Multimonopoles have mirror symmetries and axial singularities.

Abstract

We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge, ${1/2}m$, where $m$ is a natural number. These static monopole solutions satisfy the first order Bogomol'nyi equations. The axially symmetric one-half monopole gauge potentials possess a Dirac-like string singularity along the negative z-axis. The multimonopole gauge potentials are also singular along the z-axis and possess only mirror symmetries.