Deformation method for generalized 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 $V(|\varphi |)$ and a non-canonical kinetic term $\omega (|\varphi |)|D_{\mu }\varphi {|}^2$ 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 $\tilde{V}$ and $\tilde{\omega }$. We present some examples of deformation functions leading to new families of models and their associated analytic solutions.

6 pages, 10 figures