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Symmetry transformations in Batalin-Vilkovisky formalism

Albert Schwarz
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Abstract

This short note is closely related to Sen-Zwiebach paper on gauge transformations in Batalin-Vilkovisky theory (hep-th 9309027). We formulate some conditions of physical equivalence of solutions to the quantum master equation and use these conditions to give a very transparent analysis of symmetry transformations in BV-approach. We prove that in some sense every quantum observable (i.e. every even function $H$ obeying $Δ_ρ(He^S)=0$) determines a symmetry of the theory with the action functional $S$ satisfying quantum master equation $Δ_ρe^S=0$ \end

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Albert Schwarz. 1993-10-19. Symmetry transformations in Batalin-Vilkovisky formalism. https://doi.org/10.1007/bf00762792

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