Batalin-Vilkovisky formality for Chern-Simons theory
Mathematical Physics
2022-01-05 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.2110.10209,
title = {Batalin-Vilkovisky formality for Chern-Simons theory},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:2110.10209},
year = {2022}
}
Comments
22 pages; a few words added to appendix on exceptional Lie algebras