INFRARED STABLE SUPERSYMMETRY IN CHERN-SIMONS THEORIES WITH MATTER AND QUENCHED DISORDER

We study Abelian Chern-Simons field theories with matter fields and gl obal SU(N) symmetry in the presence of random weak quenched disorder. In the absence of disorder, these theories possess N = 2 supersymmetri c fixed points and N = 1 supersymmetric fixed lines in the infrared li mit. We show that, although the presence of disorder forbids any super symmetry of the bare action, infrared stable supersymmetric fixed poin ts and fixed lines are realized in the disorder-averaged effective the ories.