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 (|phgr|) and a non-canonical kinetic term ω(|phgr|)|Dμphgr|2 whose analytical domain-wall solutions are known, we show that this method allows to obtain infinitely many new analytic 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.