Deformation method for generalized Abelian Higgs-Chern-Simons models

TL;DR

This paper extends the deformation method to generate numerous new analytical solutions for generalized Abelian Higgs-Chern-Simons models with non-canonical kinetic terms, starting from known solutions.

Contribution

It introduces a systematic way to produce new models and solutions from existing ones using deformation functions, expanding the analytical solution space.

Findings

Derived new families of models with analytical solutions

Demonstrated the method with specific deformation functions

Expanded the set of solvable Abelian Higgs-Chern-Simons models

Abstract

We present an extension of the deformation method applied to self-dual solutions of generalized Abelian Higgs-Chern-Simons models. Starting from a model defined by a potential $V(| \phi |)$ and a non-canonical kinetic term $\omega(| \phi |) | D_{\mu}\phi |^2$ whose analytical domain wall solutions are known, we show that this method allows to obtain an uncountable number of new analytical solutions of new models defined by other functions $\widetilde{V}$ and $\widetilde{\omega}$. We present some examples of deformation functions leading to new families of models and their associated analytic solutions.