Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory

TL;DR

This paper presents a new spherically symmetric monopole solution in six-dimensional SO(5) gauge theory with quartic Yang-Mills action, which saturates the Bogomolny bound and is stable.

Contribution

It introduces a novel monopole solution in six-dimensional non-Abelian gauge theory with quartic field strength terms, expanding the understanding of monopoles in higher dimensions.

Findings

Monopole solution in six-dimensional SO(5) gauge theory found.

Solution saturates the Bogomolny bound.

Solution is stable.

Abstract

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The solution saturates the Bogomolny bound and is stable.