BRST structure of non-linear superalgebras
High Energy Physics - Theory
2009-11-05 v2
Abstract
In this paper we analyse the structure of the BRST charge of nonlinear superalgebras. We consider quadratic non-linear superalgebras where a commutator (in terms of (super) Poisson brackets) of the generators is a quadratic polynomial of the generators. We find the explicit form of the BRST charge up to cubic order in Faddeev-Popov ghost fields for arbitrary quadratic nonlinear superalgebras. We point out the existence of constraints on structure constants of the superalgebra when the nilpotent BRST charge is quadratic in Faddeev-Popov ghost fields. The general results are illustrated by simple examples of superalgebras.
Cite
@article{arxiv.0809.3322,
title = {BRST structure of non-linear superalgebras},
author = {M. Asorey and P. M. Lavrov and O. V. Radchenko and A. Sugamoto},
journal= {arXiv preprint arXiv:0809.3322},
year = {2009}
}
Comments
15 pages, Latex, references added, misprints corrected, comments added