Spin(7) holonomy manifold and Superconnection
High Energy Physics - Theory
2009-10-31 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We discuss the higher dimensional generalization of gravitational instantons by using volume-preserving vector fields. We give special attention to the case of 8-dimensions and present a new construction of the Ricci flat metric with holonomy in Spin(7). An example of the metric is explicitly given. Further it is shown that our formulation has a natural interpretation in the Chern-Simons theory written by the language of superconnections.
Keywords
Cite
@article{arxiv.hep-th/0010055,
title = {Spin(7) holonomy manifold and Superconnection},
author = {Yukinori Yasui and Takayoshi Ootsuka},
journal= {arXiv preprint arXiv:hep-th/0010055},
year = {2009}
}
Comments
12 pages