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arXiv · 1909.02170

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

F. C. E. Lima·D. M. Dantas·C. A. S. Almeida
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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 $ω$ 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 $ω$ generalized Chern-Simons term.

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F. C. E. Lima, D. M. Dantas, C. A. S. Almeida. 2019-09-05. New class of solutions of a generalized $O(3)$-sigma Chern-Simons model. https://doi.org/10.1209/0295-5075%2F130%2F10005

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