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

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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 σ% -field sectors. As happens in the usual gauged σ 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 % σ sector. It is shown that the LV terms yield magnetic flux reversion as well.