Eight-Dimensional Self-Dual Spaces

Details Eight-Dimensional Self-Dual Spaces Eight-Dimensional Self-Dual Spaces

1998-02-15

arxiv.org/abs/hep-th/9802107v1

Phys.Lett. B427 (1998) 283-290

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex

Scientific paper

10.1016/S0370-2693(98)00340-2

We discuss higher-dimensional gravitational instantons by studying appropriate self-duality equations for the spin connection. In seven and in eight dimensions, the corresponding spaces admit a covariantly constant spinor and have holonomies in G_2 and Spin(7), respectively. We find a non-compact solution to the self-duality equations in eight dimensions in which the self-dual space has an elliptically-fibered structure.

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