General Metrics of G_2 and Spin(7) Holonomy
High Energy Physics - Theory
2007-05-23 v1
Abstract
Using a method introduced by Hitchin we obtain the system of first order differential equations that determine the most general cohomogeniety one G_2 holonomy metric with S^3 \times S^3 principal orbits. The method is then applied to G_2 metric with S^3 \times T^3 principal orbits in which an analytic solution is obtained. The generalized metric has more free parameters than that previously constructed. After showing that the generalization is non-trivial a system of first order equations is obtained for new Spin(7) metric with principal orbits S^7.
Keywords
Cite
@article{arxiv.hep-th/0411125,
title = {General Metrics of G_2 and Spin(7) Holonomy},
author = {Z. -W. Chong},
journal= {arXiv preprint arXiv:hep-th/0411125},
year = {2007}
}
Comments
LaTex, 13 pages