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arXiv · hep-th/0010055

Spin(7) holonomy manifold and Superconnection

Yukinori Yasui·Takayoshi Ootsuka
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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.

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Yukinori Yasui, Takayoshi Ootsuka. 2000-10-09. Spin(7) holonomy manifold and Superconnection. https://doi.org/10.1088/0264-9381%2F18%2F5%2F304

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