The Bogomol'nyi Bound of Lee-Weinberg Magnetic Monopoles

TL;DR

This paper derives a Bogomol'nyi bound for Lee-Weinberg magnetic monopoles within a non-Abelian Higgs model, showing that certain solutions satisfy BPS equations and analyzing spherically symmetric monopoles.

Contribution

It establishes a Bogomol'nyi bound for Lee-Weinberg monopoles and explores their BPS solutions in a specific non-Abelian Higgs framework.

Findings

Existence of a Bogomol'nyi bound for Lee-Weinberg monopoles

Spherically symmetric monopole solutions satisfy generalized BPS equations

Bounded energy configurations identified within the model

Abstract

The Lee-Weinberg $U(1)$ magnetic monopoles, which have been reinterpreted as topological solitons of a certain non-Abelian gauged Higgs model recently, are considered for some specific choice of Higgs couplings. The model under consideration is shown to admit a Bogomol'nyi-type bound which is saturated by the configurations satisfying the generalized BPS equations. We consider the spherically symmetric monopole solutions in some detail.