A new class of solutions of a generalized O(3)-sigma Chern-Simons model

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 (CS) term. Contrary to that established in the literature, we impose a new set of boundary conditions and we find solutions to 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 lead to finite-energy solutions of the model. Moreover, compact-like structures were studied with the evolution of this ω-generalized Chern-Simons term.