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arXiv · 1305.4251

Deformation method for generalized Abelian Higgs-Chern-Simons models

L. Losano·J. M. C. Malbouisson·D. Rubiera-Garcia·C. dos Santos
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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 $V(| ϕ|)$ and a non-canonical kinetic term $ω(| ϕ|) | D_μϕ|^2$ 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 $\widetildeω$. We present some examples of deformation functions leading to new families of models and their associated analytic solutions.

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L. Losano, J. M. C. Malbouisson, D. Rubiera-Garcia, C. dos Santos. 2013-05-18. Deformation method for generalized Abelian Higgs-Chern-Simons models. https://doi.org/10.1209/0295-5075%2F101%2F31001

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