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

TL;DR

This paper explores new compacton-like solutions in a generalized O(3)-sigma Chern-Simons model, introducing novel boundary conditions and a parameter to achieve finite-energy configurations with potential applications in topological field theories.

Contribution

It presents a new class of solutions by imposing novel boundary conditions and incorporating a parameter in the Chern-Simons term, expanding the understanding of solitons in sigma models.

Findings

Existence of compacton-like solutions in the generalized model

Finite-energy solutions achieved through parameter adjustment

Study of compact structures with variable Chern-Simons parameter

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.