Rotating One-Half Topological Charge Dyon

TL;DR

This paper introduces a finite-energy, rotating one-half dyon with magnetic dipole moment and angular momentum, extending the concept of monopoles by incorporating electric charge and analyzing its properties under various Higgs self-coupling conditions.

Contribution

It presents the first finite-energy one-half dyon solution with rotation and electric charge, expanding the understanding of monopole and dyon configurations in gauge theories.

Findings

The one-half dyon possesses finite energy, magnetic dipole moment, and angular momentum.

It exhibits critical electric charge, energy, and magnetic dipole moment near maximal electric charge parameter.

The solution is non-BPS and does not satisfy Bogomol'nyi equations, especially in the limit of zero Higgs self-coupling.

Abstract

Recently, we have shown the existence of a finite energy one-half monopole. In this paper, we would like to introduce electric charge into the one-half monopole configuration, thus creating a one-half dyon. This one-half dyon possesses finite energy, magnetic dipole moment and angular momentum. Hence it is able to rotate in the presence of an external magnetic field. Similar to the single pole dyons and the MAP dyons, this one-half dyon possesses critical (maximum) electric charge, total energy, and magnetic dipole moment when the Higgs self-coupling constant is nonvanishing, and the electric charge parameter approaches one. This one-half dyon solution does not satisfy the first order Bogomol'nyi equations and is a non-BPS solution in the limit of vanishing Higgs self-coupling constant.