Symmetry transformations in Batalin-Vilkovisky formalism

Abstract

Let us suppose that the functionalS on an odd symplectic manifold satisfies the quantum master equation Δ _ρ e ^s = 0. We prove that in some sense every quantum observable (i.e. every functionH obeying Δ _p (He ^s) = 0) determines a symmetry of the theory with the action functionalS.