Aspects of Lorentz-Poincar\'e-symmetry violating physics in a supersymmetric scenario

TL;DR

This paper explores Lorentz symmetry violation within a supersymmetric framework, analyzing its effects on photon and photino properties, and discussing potential observable consequences such as dispersion relations and fermionic Primakoff effects.

Contribution

It introduces a novel supersymmetric extension of Lorentz-violating photon sector, identifying background fermion condensates and deriving their physical implications.

Findings

Photon and photino masses depend on supersymmetric background parameters.

Time delay between electromagnetic waves of different frequencies is predicted.

A fermionic Primakoff effect involving photino-photon conversion is proposed.

Abstract

We study a Lorentz invariance violating extension for the pure photonic sector of the standard model in a supersymmetric scenario. We identify a number of independent background fermion condensates. An effective photonic action is proposed which is induced by the SUSY background fermion condensates. The physical consequences leading to direct measurable effects over the screening and confining properties are considered. In the specific case of the Carroll-Field-Jackiw, we pay special attention in analyzing the dispersion relations to derive the photon and photino masses in terms of the supersymmetric background parameters. In connection with astrophysical aspects of Lorentz-symmetry violation, we discuss the time delay between electromagnetic waves of different frequencies as a consequence of the appearance of the massive photon. We also point out that, in the scenario we propose to accommodate Lorentz-symmetry violation in presence of a supersymmetric background, there is room for a sort of fermionic Primakoff effect in which a photino-photon conversion may be induced by the fermionic sector of the supersymmetric background.