Electric monopoles in generalised $B\wedge F$ theories

TL;DR

This paper introduces a tensor product generalisation of $B ext{-} ext{F}$ theories that admits non-singular, stable electric monopole solutions, expanding the types of solutions beyond traditional Yang-Mills-Higgs models.

Contribution

It proposes a new generalisation of $B ext{-} ext{F}$ theories with a Bogomol'nyi structure allowing electric monopoles, differing from standard models by not having a perfect square in the Lagrangian.

Findings

Constructs non-singular, stable monopole solutions.

Shows the Bogomol'nyi energy can be obtained in multiple ways.

Demonstrates the existence of electric monopoles in the new framework.

Abstract

A tensor product generalisation of $B\wedge F$ theories is proposed to give a Bogomol'nyi structure. Non-singular, stable, finite-energy particle-like solutions to the Bogomol'nyi equations are studied. Unlike Yang-Mills(-Higgs) theory, the Bogomol'nyi structure does not appear as a perfect square in the Lagrangian. Consequently, the Bogomol'nyi energy can be obtained in more than one way. The added flexibility permits electric monopole solutions to the field equations.