The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model

TL;DR

This paper explores how a supersymmetric Lorentz-violating model affects the photino sector and induces a confining potential, revealing new insights into the interplay between supersymmetry, Lorentz violation, and confinement.

Contribution

It introduces a supersymmetric extension of the Carroll-Field-Jackiw model, analyzing the spectrum, fermion condensates, and confinement mechanisms within this framework.

Findings

Identification of independent background fermion condensates.

Derivation of gaugino dispersion relations.

Evidence of linear potential leading to confinement.

Abstract

We study the spectrum of the minimal supersymmetric extension of the Carroll-Field-Jackiw model for Electrodynamics with a topological Chern-Simons-like Lorentz-symmetry violating term. We identify a number of independent background fermion condensates, work out the gaugino dispersion relation and propose a photonic effective action to consider aspects of confinement induced by the SUSY background fermion condensates, which also appear to signal Lorentz-symmetry violation in the photino sector of the action. Our calculations of the static potential are carried out within the framework of the gauge-invariant but path-dependent variables formalism which are alternative to the Wilson loop approach. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges.