Dyonic string-like solution in a non-Abelian gauge theory with two potentials

TL;DR

This paper discovers an exact string-like dyonic solution with cylindrical symmetry in a non-Abelian gauge theory featuring two potentials, expanding understanding of such configurations.

Contribution

It introduces a novel exact dyonic string-like solution in a non-Abelian gauge theory with two potentials, highlighting new configurations with cylindrical symmetry.

Findings

Found an exact infinite string-like dyonic solution

Demonstrated cylindrical symmetry in the solution

Expanded the class of known solutions in non-Abelian gauge theories

Abstract

Axially symmetric dyon solutions of a non-Abelian gauge theory model with two potentials are sought. While seeking axially symmetric (flux tube like solutions) for the model, we stumbled upon an exact solution which represents an infinite string-like dyonic configuration with cylindrical symmetry.