Batalin-Vilkovisky formality for Chern-Simons theory

Published 19 Oct 2021 in math-ph, hep-th, and math.MP | (2110.10209v2)

Abstract: We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism is a differential graded Lie algebra.

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Ezra Getzler

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