Off-shell BRST superspace formulation of N = 1 supersymmetric Yang-Mills theory

Abstract

We propose to construct the off-shell nilpotent BRST and anti-BRST transformations in four dimensional N = 1 supersymmetric Yang-Mills theory in terms of a BRST superspace formalism. The method is based on the possibility of introducing auxiliary fields through the supersym-metric transformations of the superpartener of the gauge potential associated to a supersymmetric Yang-Mills connection. These fields are required to achieve the off-shell nilpotency of the BRST and anti-BRST operators. We also show how this off-shell structure is used to build the BRST and anti-BRST invariant gauge-fixed quantum action.