Deforming solitons in generalized Abelian Higgs models

TL;DR

This paper extends the deformation method to generalized Abelian Higgs models, enabling the transformation of self-dual solutions into scalar field models, and further explores applications to non-Abelian Higgs models.

Contribution

It introduces a novel extension of the deformation method to generalized Abelian Higgs models and applies it to non-Abelian Higgs models.

Findings

Successfully transforms self-dual solutions into scalar models

Provides a parametrization of soliton orbits using sine-Gordon kinks

Extends deformation techniques to non-Abelian Higgs models

Abstract

This work deals with several aspects of the extension to Abelian Higgs models of the deformation method originally developed for scalar field models. We present several examples allowing to transform self-dual solutions of different generalized Abelian Higgs models into scalar field models with or without a gauge field component. This is done through a parametrization of the soliton orbit in terms of the sine-Gordon static kink. We extend these ideas to a nonAbelian Higgs model.