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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pp., LaTeX. Explanatory remarks and references added. Version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.1389

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.

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