L. Baulieu, EXTENDED SUPERSYMMETRY FOR PATH-INTEGRAL REPRESENTATIONS OF LANGEVIN TYPE EQUATIONS, Progress of theoretical physics. Supplement, (111), 1993, pp. 151-162
Quantum Field Theories based on the fulfillment of a constraint throug
h a supersymmetry path integral often possess a larger supersymmetry t
han the global BRST symmetry coming from the standard determinant mani
pulations. We show that such a symmetry can be identified as a local e
xtension of the BRST symmetry. We give as examples the Parisi-Sourlas
symmetry and the vector supersymmetry of the three-dimensional Chem-Si
mons action in the Landau and axial gauges.