BPS solitons with internal structure in the gauged $O(3)$ sigma model

Abstract

We investigate the existence of self-dual solitons with internal structure in a gauged $O(3)$ nonlinear sigma model immersed in a dielectric medium generated by a real scalar field (dubbed the source field). We consider rotationally symmetric configurations and applying the {Bogomol'nyi-Prasad-Sommerfield} formalism to obtain the energy lower bound and the respective {first-order differential equations (or self-dual equations).} By solving such a system of equations for three different dielectric media, we find the internal structure generates relevant changes in the soliton profiles when compared with the ones obtained without the presence of the dielectric medium.

arXiv comment11 pages, Latex 2e, 15 figures

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• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
• Self-dual compact gauged baby skyrmions in a continuous medium