An Investigation of the $K_{F}$-type Lorentz-Symmetry Breaking Gauge Models in $N=1$-Supersymmetric Scenario

TL;DR

This paper explores how Lorentz-symmetry breaking electrodynamics models can be integrated into an N=1 supersymmetric framework using chiral and vector superfields, detailing the background tensor and fermionic partners involved.

Contribution

It introduces two supersymmetric formulations for Lorentz-symmetry violation in electrodynamics, expressing the background tensor in terms of superfield components and including fermionic partners.

Findings

Two supersymmetric models for Lorentz-symmetry breaking are formulated.

The background tensor is expressed via superfield components.

Actions include fermionic partners of the background.

Abstract

In this work, we present two possible venues to accomodate the $K_{F}$-type Lorentz-symmetry violating Electrodynamics in an $N=1$-supersymmetric framework. A chiral and a vector superfield are chosen to describe the background that signals Lorentz-symmetry breaking. In each case, the $\ K_{\mu \nu \kappa \lambda }$-tensor is expressed in terms of the components of the background superfield that we choose to describe the breaking. We also present in detail the actions with all fermionic partners of the background that determine $\ K_{\mu \nu \kappa \lambda }$.