Spin(7) holonomy manifold and superconnection

被引：12

作者：

Yasui, Y ^{[1
]}

Ootsuka, T ^{[1
]}

机构：

[1] Osaka City Univ, Dept Phys, Sumiyoshi Ku, Osaka 558, Japan

来源：

CLASSICAL AND QUANTUM GRAVITY | 2001年 / 18卷 / 05期

关键词：

D O I：

10.1088/0264-9381/18/5/304

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the higher-dimensional generalization of gravitational instantons by using volume-preserving vector fields. We give special attention to the case of eight dimensions and present a new construction of the Ricci-flat metric with holonomy in Spin(7). An example of the metric is explicitly given. Furthermore, it is shown that our formulation has a natural interpretation in the Chern-Simons theory written by the language of superconnections.

引用

页码：807 / 816

页数：10

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