New class of solutions of a generalized $O(3)$-sigma Chern-Simons model

Abstract

In this work, we investigated the existence of compacton-like configuration in the O(3)-sigma model. We consider a minimally coupled O(3)-sigma model with a gauge field governed by a generalized Chern-Simons term. Contrary to that established in the literature, we impose a new set of boundary conditions and, we find solutions of the variable fields and the respective energy density in the Bogomol'nyi limit. On the other hand, the introduction of a parameter $\omega$ in the Chern-Simons term can be adjusted to leads to finite-energy solutions of the model. Moreover, compact-like structures were studied with the evolution of this $\omega$ generalized Chern-Simons term.

arXiv comment12 pages, 7 figures

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• Differential configurational entropy for multi-field of the ${\varphi }^6$ theory
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• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model