Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model

Abstract

We have studied the existence of topological Bogomol'nyi-Prasad-Sommerfield or self-dual configurations in a Lorentz-violating gauged $O(3)$ nonlinear sigma model, where $CPT$-even Lorentz-violating (LV) terms were introduced in both the gauge and $\sigma$% -field sectors. As happens in the usual gauged $\sigma$ model, purely magnetic self-dual configurations are allowed, maintaining some qualitative features of the standard ones. In a more involved configuration, Lorentz violation provides new self-dual magnetic solutions carrying an electric field but a null total electric charge. In both cases, the total energy of the self-dual configurations turns out to be proportional to the topological charge of the model and to the LV parameters introduced in the sector. It is shown that the LV terms yield magnetic flux reversion as well.

revtex style, two columns, 14 pages, final and revised version published in Physical Review D

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