Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
Abstract
We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and radiatively broken at the loop level in flat space. Save the three dimensional theory (which is the Weyl-invariant extension of the new massive gravity), the graviton remains massless and the unitarity requires that the only viable Weyl-invariant quadratic theory is the Weyl-invariant extension of the Einstein-Gauss-Bonnet theory. The Weyl gauge field on the other hand becomes massive. Symmetry breaking scale fixes all the dimensionful parameters in the theory.
Keywords
Cite
@article{arxiv.1201.5068,
title = {Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions},
author = {M. Reza Tanhayi and Suat Dengiz and Bayram Tekin},
journal= {arXiv preprint arXiv:1201.5068},
year = {2012}
}
Comments
14 pages, references added, To appear in Phys. Rev. D