Auxiliary representations of Lie algebras and the BRST constructions
High Energy Physics - Theory
2009-10-31 v1
Abstract
The method of construction of auxiliary representations for a given Lie algebra is discussed in the framework of the BRST approach. The corresponding BRST charge turns out to be non -- hermitian. This problem is solved by the introduction of the additional kernel operator in the definition of the scalar product in the Fock space. The existence of the kernel operator is proven for any Lie algebra.
Keywords
Cite
@article{arxiv.hep-th/0001195,
title = {Auxiliary representations of Lie algebras and the BRST constructions},
author = {C. Burdik and A. Pashnev and M. Tsulaia},
journal= {arXiv preprint arXiv:hep-th/0001195},
year = {2009}
}
Comments
11 pages, LaTeX