Spin(7) holonomy manifold and Superconnection
Yasui, Yukinori ; Ootsuka, Takayoshi
arXiv, 0010055 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-10-09
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0010055,
     author = {Yasui, Yukinori and Ootsuka, Takayoshi},
     title = {Spin(7) holonomy manifold and Superconnection},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010055}
}

Yasui, Yukinori; Ootsuka, Takayoshi. Spin(7) holonomy manifold and Superconnection. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010055/