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Covariance in the Batalin-Vilkovisky formalism and the Maurer-Cartan equation for curved Lie algebras

Published 14 Jan 2018 in math-ph, hep-th, and math.MP | (1801.04525v2)

Abstract: We express covariance of the Batalin-Vilkovisky formalism in classical mechanics by means of the Maurer-Cartan equation in a curved Lie superalgebra, defined using the formal variational calculus and Sullivan's Thom-Whitney construction. We use this framework to construct a Batalin-Vilkovisky canonical transformation identifying the Batalin-Vilkovisky formulation of the spinning particle with an AKSZ field theory.

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