Algebraic structure of gravity in Ashtekar variables
High Energy Physics - Theory
2009-10-28 v2
Abstract
The BRST transformations for gravity in Ashtekar variables are obtained by using the Maurer-Cartan horizontality conditions. The BRST cohomology in Ashtekar variables is calculated with the help of an operator introduced by S.P. Sorella, which allows to decompose the exterior derivative as a BRST commutator. This BRST cohomology leads to the differential invariants for four-dimensional manifolds.
Keywords
Cite
@article{arxiv.hep-th/9409046,
title = {Algebraic structure of gravity in Ashtekar variables},
author = {P. A. Blaga and O. Moritsch and M. Schweda and T. Sommer and L. Tataru and H. Zerrouki},
journal= {arXiv preprint arXiv:hep-th/9409046},
year = {2009}
}
Comments
19 pages, report REF. TUW 94-19