Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term

TL;DR

This paper introduces a generalized Abelian Higgs model with a Chern-Simons term, revealing degenerate topological vortex solutions with non-quantized magnetic flux and infinite degeneracy, expanding understanding of vortex configurations.

Contribution

It presents a novel generalized model with a dielectric function and nonminimal interactions, leading to new vortex solutions with unique properties not seen in standard models.

Findings

Vortices satisfy Bogomol'nyi bound with non-quantized magnetic flux.

Vortex solutions are infinitely degenerate within each topological sector.

The model extends the class of topological vortex solutions in gauge theories.

Abstract

We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits topological vortices satisfying Bogomol'nyi bound for which the magnetic flux is not quantized even though the energy is quantized. Furthermore, the vortex solution in each topological sector is infinitely degenerate.