2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96879In this letter, we reconsider the delicate issue of symmetry and supersymmetry breakings for gauge theories with gauge-field mixings. The purpose is to study generalyzed potentials in the presence of more than a single gauge potential. In this work, following a stream of investigation on supersymmetric gauge theories without flat directions, we contemplate the possibility of building up D- and F-term potentials by means of a gauge-field mixing in connection with a U(1)x U(1)' -symmetry. We investigate a generalized potential including an N=1 supersymmetric extension of the Maxwell-Chern-Simons model focusing on the study of cosmic string configurations. This analysis sheds some light on the formation of cosmic strings for model with violation of Lorentz symmetry.9 pages, 2 figures, work presented at the 4th International Winter Conference on Mathematical Methods in Physics (WC2004), 09 - 13 August 2004, Centro Brasileiro de Pesquisas Fisicas (CBPF/MCT), Rio de Janeiro, BrazilHigh Energy Physics - Theorytext