Simple models with Alice fluxes

TL;DR

This paper presents two simple models exhibiting Alice electrodynamics phases, with solutions resembling Nielsen-Olesen flux tubes, including numerical examples, advancing understanding of topological flux solutions in gauge theories.

Contribution

The paper introduces two new simple models with Alice flux solutions that obey first order equations similar to known flux tubes, providing analytical and numerical insights.

Findings

Alice flux solutions obey first order equations

Numerical solutions of flux tubes are provided

Models demonstrate Alice electrodynamics phases

Abstract

We introduce two simple models which feature an Alice electrodynamics phase. In a well defined sense the Alice flux solutions we obtain in these models obey first order equations similar to those of the Nielsen-Olesen fluxtube in the abelian higgs model in the Bogomol'nyi limit. Some numerical solutions are presented as well.