2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96108In this work, we propose the N=2 and N=4 supersymmetric extensions of the Lorentz-breaking Abelian Chern-Simons term. We formulate the question of the Lorentz violation in 6 and 10 dimensions to obtain the bosonic sectors of $N=2-$ and $N=4-$ supersymmetries, respectively. From this, we carry out an analysis in N=1, D=4 superspace and, in terms of $N=1-$ superfields, we are able to write down the N=2 and N=4 supersymmetric extensions of the Lorentz-violating action term.pages 8, Presented on Fourth International Winter Conference on Mathematical Methods in Physics - CBPF/MCT, RJ BrazilHigh Energy Physics - Theorytext