A Weyl-covariant tensor calculus
高能物理 - 理论
2009-11-10 v2
摘要
On a (pseudo-) Riemannian manifold of dimension n > 2, the space of tensors which transform covariantly under Weyl rescalings of the metric is built. This construction is related to a Weyl-covariant operator D whose commutator [D,D] gives the conformally invariant Weyl tensor plus the Cotton tensor. So-called generalized connections and their transformation laws under diffeomorphisms and Weyl rescalings are also derived. These results are obtained by application of BRST techniques.
引用
@article{arxiv.hep-th/0412314,
title = {A Weyl-covariant tensor calculus},
author = {Nicolas Boulanger},
journal= {arXiv preprint arXiv:hep-th/0412314},
year = {2009}
}
备注
LaTeX, 10 pages. Minor corrections and a reference added