The Maurer-Cartan structure of BRST differential
Abstract
In this paper, we construct a new sequence of generators of the BRST complex and reformulate the BRST differential so that it acts on elements of the complex much like the Maurer-Cartan differential acts on left-invariant forms. Thus our BRST differential is formally analogous to the differential defined on the BRST formulation of the Chevalley-Eilenberg cochain complex of a Lie algebra. Moreover, for an important class of physical theories, we show that in fact the differential is a Chevalley-Eilenberg differential. As one of the applications of our formalism, we show that the BRST differential provides a mechanism which permits us to extend a nonintegrable system of vector fields on a manifold to an integrable system on an extended manifold.
Keywords
Cite
@article{arxiv.math-ph/0410026,
title = {The Maurer-Cartan structure of BRST differential},
author = {Jining Gao},
journal= {arXiv preprint arXiv:math-ph/0410026},
year = {2009}
}