Journal of High Energy Physics (Dec 2021)

Batalin-Vilkovisky formality for Chern-Simons theory

  • Ezra Getzler

DOI
https://doi.org/10.1007/jhep12(2021)105
Journal volume & issue
Vol. 2021, no. 12
pp. 1 – 24

Abstract

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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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