Abstract :
We use a BRST superspace to formulate off-shell nilpotent BRST and anti-BRST transformations in the simple supergravity. The method relies on the possiblity of introducing auxiliary fields through the supercurvature associated to a super Poincaré connection. These fields naturally arise after having imposed constraints on the supercurvature, which simply follow from the vanishing of the BRST superspace torsion. This approach also allows to incorporate both BRST symmetry and anti-BRST symmetry into the quantization of such theory.