Visible and hidden sectors in a model with Maxwell and Chern-Simons gauge dynamics

TL;DR

This paper explores a combined Maxwell and Chern-Simons gauge theory with vortex solutions, analyzing its supersymmetric extension, and demonstrating the existence of charged vortex solutions through numerical methods.

Contribution

It introduces a novel model with Maxwell and Chern-Simons dynamics connected via BF and Higgs portal terms, and derives BPS equations in the supersymmetric extension.

Findings

Found vortex solutions with magnetic flux and electric charge.

Demonstrated supersymmetric BPS equations involving an additional scalar.

Numerically analyzed field equations confirming vortex solutions.

Abstract

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The two sectors via a BF gauge field mixing and a Higgs portal term that connects the two complex scalars. We also consider the supersymmetric version of this system which allows to find for the bosonic sector BPS equations in which an additional real scalar field enters into play. We study numerically the field equations finding vortex solutions with both magnetic flux and electric charge.