Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory

TL;DR

This paper investigates how mass can be dynamically generated in a Lorentz-violating supersymmetric gauge theory in low dimensions, with potential applications to condensed matter systems like superconductors and topological insulators.

Contribution

It introduces a novel Lorentz-violating supersymmetric model and explores its mass generation mechanism, linking it to condensed matter phenomena.

Findings

Mass is dynamically generated in the model.

The aether term affects bosonic mode velocity.

Potential applications to condensed matter systems.

Abstract

In this work we study the dynamical generation of mass in the Lorentz-violating low-dimensional Super-Yang-Mills theory in the aether superspace coupled to a scalar matter. We also suggest that our studies can be applied for condensed matter systems, especially lower-dimensional superconductors and topological insulators. In low dimensional materials, the parameter $\Delta$ generated by presence of the aether term can be interpreted as a quantity that renormalizes the propagation velocity of the bosonic mode with respect to the Fermi velocity.