Infra-Red Stable Supersymmetry in Chern-Simons Theories with Matter and Quenched Disorder

TL;DR

This paper demonstrates that supersymmetric fixed points and lines can emerge in the infrared limit of Abelian Chern-Simons theories with matter and disorder, despite disorder breaking supersymmetry at the bare level.

Contribution

It reveals that disorder-averaged effective theories can exhibit supersymmetry even when the original theories do not, highlighting a novel infrared phenomenon.

Findings

Infrared stable supersymmetric fixed points are found in disordered theories.

Supersymmetry emerges in the effective theory despite being broken at the bare level.

Disorder-averaged theories retain supersymmetric structures in the IR limit.

Abstract

We study Abelian Chern-Simons field theories with matter fields and global SU(N) symmetry in the presence of random weak quenched disorder. In the absence of disorder these theories possess N=2 supersymmetric fixed points and N=1 supersymmetric fixed lines in the infra-red limit. We show that although the presence of disorder forbids any supersymmetry of the bare action, infra-red stable supersymmetric fixed points and fixed lines are realized in the disorder-averaged effective theories.