On the Geometry of the Batalin-Vilkovisky Formalism
High Energy Physics - Theory
2015-06-26 v1
Abstract
An invariant definition of the operator of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (antibracket). Its main properties, which follow from this definition, as well as an example of realization on K\"ahlerian supermanifolds, are considered. The geometrical meaning of the Batalin-Vilkovisky formalism is discussed.
Keywords
Cite
@article{arxiv.hep-th/9303136,
title = {On the Geometry of the Batalin-Vilkovisky Formalism},
author = {O. M. Khudaverdian and A. P. Nersessian},
journal= {arXiv preprint arXiv:hep-th/9303136},
year = {2015}
}
Comments
11 pages , UGVA---DPT 1993/03--807