Batalin-Vilkovisky formality for Chern-Simons theory
arXiv:2110.10209 · doi:10.1007/JHEP12(2021)105
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.
22 pages; a few words added to appendix on exceptional Lie algebras