Chiral gravity in higher dimensions
General Relativity and Quantum Cosmology
2009-11-10 v2 High Energy Physics - Theory
Abstract
We construct a chiral theory of gravity in 7 and 8 dimensions, which are equivalent to Einstein-Cartan theory using less variables. In these dimensions, we can construct such higher dimensional chiral gravity because of the existence of gravitational instanton. The octonionic-valued variables in the theory represent the deviation from the gravitational instanton, and from their non-associativity, prevents the theory to be SO(n) gauge invariant. Still the chiral gravity holds G_2 (7-D), and Spin(7) (8-D) gauge symmetry.
Keywords
Cite
@article{arxiv.gr-qc/0310047,
title = {Chiral gravity in higher dimensions},
author = {Takayoshi Ootsuka and Erico Tanaka and Kousuke Ura},
journal= {arXiv preprint arXiv:gr-qc/0310047},
year = {2009}
}
Comments
18 pages, no figures. Minor typos corrected. Updated references