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arXiv · 1801.04525

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

Ezra Getzler
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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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Ezra Getzler. 2018-05-28. Covariance in the Batalin-Vilkovisky formalism and the Maurer-Cartan equation for curved Lie algebras. https://doi.org/10.1007/s11005-018-1106-8

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