Superspace formulation for the Batalin-Vilkovisky formalism with extended BRST invariance

A superspace formulation for the Batalin-Vilkovisky formalism (also called field-antifield quantization) with extended BRST invariance (BRST and anti-BRST invariance) for gauge theories with a closed algebra is presented. In contrast with a recent formulation, where only BRST invariance holds off shell, two collective sets of fields are introduced and an off-shell realization of the extended algebra in a superspace with two Grassmann coordinates is obtained. The example of the Yang-Mills theory is also considered.