The N = 2 and N = 4 Supersymmetric Extensions of the Lorentz- and CPT-Violating Term in Abelian Gauge Theories

TL;DR

This paper develops N=2 and N=4 supersymmetric extensions of Lorentz-violating Abelian Chern-Simons terms, analyzing their formulation in higher dimensions and expressing them within N=1, D=4 superspace.

Contribution

It introduces the first formulations of N=2 and N=4 supersymmetric Lorentz-violating Abelian gauge theories using higher-dimensional analysis and superspace techniques.

Findings

Formulated N=2 and N=4 supersymmetric extensions of Lorentz-violating terms.

Analyzed Lorentz violation in 6 and 10 dimensions for supersymmetry sectors.

Expressed supersymmetric actions in N=1, D=4 superspace.

Abstract

In 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 versions of the Lorentz-violating action term.