A Weyl-covariant tensor calculus

Details A Weyl-covariant tensor calculus A Weyl-covariant tensor calculus

2004-12-28

arxiv.org/abs/hep-th/0412314v2

J.Math.Phys. 46 (2005) 053508

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages. Minor corrections and a reference added

Scientific paper

10.1063/1.1896381

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.

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