On the Potentials of Supersymmetric Theories with Gauge-Field Mixing Terms

TL;DR

This paper explores supersymmetric gauge theories with gauge-field mixing, analyzing generalized potentials and cosmic string formation, especially in models with Lorentz symmetry violation, advancing understanding of symmetry breaking in such theories.

Contribution

It introduces a generalized supersymmetric potential with gauge-field mixing in U(1) x U(1)' models and examines cosmic string solutions with Lorentz symmetry violation.

Findings

Potential for cosmic string formation with gauge-field mixing

Insights into symmetry and supersymmetry breaking mechanisms

Effects of Lorentz symmetry violation on cosmic strings

Abstract

In 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.