Recent Results on N=2,4 Supersymmetry with Lorentz Symmetry Violating

TL;DR

This paper develops N=2 and N=4 supersymmetric extensions of Lorentz-violating Chern-Simons terms, analyzing their formulation in higher dimensions and superspace to incorporate Lorentz symmetry breaking within supersymmetric frameworks.

Contribution

It introduces the first supersymmetric extensions of Lorentz-violating Chern-Simons terms for N=2 and N=4 supersymmetries using higher-dimensional formulations and superspace techniques.

Findings

Formulated N=2 and N=4 supersymmetric Lorentz-violating actions.

Analyzed Lorentz violation in 6 and 10 dimensions for supersymmetric extensions.

Expressed extensions in N=1, D=4 superspace using superfields.

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 extensions of the Lorentz-violating action term.