MASTER-EQUATIONS FOR EXTENDED LAGRANGIAN BRST SYMMETRIES

Starting from the requirement that a Lagrangian field theory be invari ant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symm etry, we derive the BRST-anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done through standard Lagrangian gauge fixing respe cting the extended BRST symmetry. The solutions of the resulting Maste r Equation and the gauge-fixing procedure for the quantum action can b e brought into forms that coincide with those obtained earlier on alge braic grounds by Batalin, Lavrov and Tyutin.