AdS Chern-Simons Gravity induces Conformal Gravity
General Relativity and Quantum Cosmology
2015-06-18 v2 High Energy Physics - Theory
Abstract
The leitmotif of this paper is the question of whether four- and higher even-dimensional Conformal Gravities do have a Chern-Simons pedigree. We show that Weyl gravity can be obtained as dimensional reduction of a five-dimensional Chern-Simons action for a suitable (gauged-fixed, tractor-like) five-dimensional AdS connection. The gauge-fixing and dimensional reduction program admits a readily generalization to higher dimensions for the case of certain conformal gravities obtained by contractions of the Weyl tensor.
Cite
@article{arxiv.1311.5364,
title = {AdS Chern-Simons Gravity induces Conformal Gravity},
author = {Rodrigo Aros and Danilo E. Diaz},
journal= {arXiv preprint arXiv:1311.5364},
year = {2015}
}
Comments
13 pages, references added, typos corrected