Twinlike Models for Self-Dual Maxwell-Higgs Theories

TL;DR

This paper develops a theoretical framework for creating twinlike models in self-dual Maxwell-Higgs theories, demonstrating they share identical topological structures and energies through theoretical and numerical validation.

Contribution

It introduces a novel framework for twinlike models in Maxwell-Higgs theories, extending the concept to vortex solutions with consistent topological properties.

Findings

Twinlike models share identical BPS structures and energies.

The framework is validated through theoretical and numerical methods.

Extension of twinlike models to vortex solutions in gauge theories.

Abstract

In this work we present a theoretical framework that allows for the existence of coherent twinlike models in the context of self-dual Maxwell-Higgs theories. We verify the consistence of this framework by using it to develop some twinlike self-dual Maxwell-Higgs models. We use a combination of theoretical and numerical techniques to show that these models exhibit the very same topological BPS structures, including their field configurations and total energy. The study shows that it is possible to develop a completely consistent prescription, which extends the idea of twinlike models to the case of vortices in Maxwell-Higgs theories.