Batalin-Vilkovisky formality for Chern-Simons theory

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.

Bibliographic Details
Main Author: Ezra Getzler
Format: Article
Language:English
Published: SpringerOpen 2021-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2021)105