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arxiv: hep-th/0010055 · v1 · submitted 2000-10-09 · ✦ hep-th · gr-qc· math-ph· math.MP

Spin(7) holonomy manifold and Superconnection

classification ✦ hep-th gr-qcmath-phmath.MP
keywords holonomymetricspinattentioncasechern-simonsconstructiondimensional
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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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