A SUPERSPACE FORMULATION OF THE BV ACTION

We show that the BV (Batalin-Vilkovisky) action, formulated with a gen eralized BRST symmetry (including the shift symmetry), is also invaria nt under a generalized anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing lagra ngian 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 BRS T and anti-BRST invariant manner in a superspace with two Grassmann co ordinates when the gauge fixing lagrangian is invariant under both BRS T and anti-BRST transformations.