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We have studied the existence of topological Bogomol'nyi-Prasad-Sommerfieldor self-dual configurations in a Lorentz-violating gauged $O(3)$ nonlinearsigma model, where $CPT$-even Lorentz-violating (LV) terms were introduced inboth 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 involvedconfiguration, Lorentz violation provides new self-dual magnetic solutionscarrying an electric field but a null total electric charge. In both cases, thetotal energy of the self-dual configurations turns out to be proportional tothe topological charge of the model and to the LV parameters introduced in the$% \sigma $ sector. It is shown that the LV terms yield magnetic flux reversionas well.

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