A superspace formulation of the BV action

We show that the BV (Batalin-Vilkovisky) action, formulated with a generalized BRST symmetry (including the shift symmetry), is also invariant under a generalized anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing lagrangian, the BV action can be written in a manifestly generalized BRST invariant manner in a superspace with one Grassmann coordinate whereas it can be expressed in a manifestly generalized BRST and anti-BRST invariant manner in a superspace with two Grassmann coordinates when the gauge fixing lagrangian is invariant under both BRST and anti-BRST transformations. ((orig.))