Symmetry transformations in Batalin-Vilkovisky formalism

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 ${\Delta }_{\rho }(H{e}^S)=0$) determines a symmetry of the theory with the action functional $S$ satisfying quantum master equation ${\Delta }_{\rho }{e}^S=0$ \end

3 pages

References in corpus (1)

• Geometry of Batalin-Vilkovisky quantization

Cited by in corpus (6)

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• Families of gauge conditions in BV formalism
• Geometry of differential operators, odd Laplacians, and homotopy algebras