Remarks on the Causality, Unitarity and Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model

TL;DR

This paper re-examines a Lorentz- and CPT-violating Maxwell-Chern-Simons model, analyzing its causality, unitarity, and gauge symmetry, and extends it to a supersymmetric framework with novel self-couplings and gaugino mass implications.

Contribution

It provides a minimal supersymmetric extension of the Lorentz- and CPT-violating Maxwell-Chern-Simons model, exploring its theoretical consistency and new interaction features.

Findings

Causality and unitarity are maintained in the extended model.

New self-couplings in the gauge sector are identified.

Background contributions affect gaugino masses.

Abstract

The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here re-assessed and issues like causality, unitarity, spontaneous gauge-symmetry breaking are investigated. Moreover, we obtain a minimal extension of such a system to a supersymmetric environment. We comment on resulting peculiar self-couplings for the gauge sector, as well as on background contribution for gaugino masses.