Spin(7) holonomy manifold and Superconnection

Details Spin(7) holonomy manifold and Superconnection Spin(7) holonomy manifold and Superconnection

2000-10-09

arxiv.org/abs/hep-th/0010055v1

Class.Quant.Grav. 18 (2001) 807-816

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1088/0264-9381/18/5/304

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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