Dyons of One Half Monopole Charge

TL;DR

This paper presents exact axially symmetric SU(2) Yang-Mills-Higgs dyon solutions with half monopole charge, characterized by a parameter, satisfying Bogomol'nyi equations, with finite net electric charge despite line singularities.

Contribution

It introduces new exact dyon solutions with half monopole charge in SU(2) Yang-Mills-Higgs theory, characterized by a parameter and satisfying first order Bogomol'nyi equations.

Findings

Solutions are axially symmetric and satisfy Bogomol'nyi equations.

Net electric charges are finite and vary with parameter m.

Solutions exhibit string singularities with infinite energy density along the line.

Abstract

We would like to present some exact SU(2) Yang-Mills-Higgs dyon solutions of one half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, $m$. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter $m$ are finite.