EXTENDED SUPERSYMMETRY FOR PATH-INTEGRAL REPRESENTATIONS OF LANGEVIN TYPE EQUATIONS

Quantum Field Theories based on the fulfillment of a constraint through a supersymmetry path integral often possess a larger supersymmetry than the global BRST symmetry coming from the standard determinant manipulations. We show that such a symmetry can be identified as a local extension of the BRST symmetry. We give as examples the Parisi-Sourlas symmetry and the vector supersymmetry of the three-dimensional Chem-Simons action in the Landau and axial gauges.