Octonionic Gravitational Instantons

Details Octonionic Gravitational Instantons Octonionic Gravitational Instantons

1998-10-06

arxiv.org/abs/hep-th/9810042v2

Phys.Lett. B445 (1998) 69-76

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, no figures. References to earlier works added

Scientific paper

10.1016/S0370-2693(98)01411-7

We construct eight-dimensional gravitational instantons by solving appropriate self-duality equations for the spin-connection. The particular gravitational instanton we present has $Spin(7)$ holonomy and, in a sense, it is the eight-dimensional analog of the Eguchi-Hanson 4D space. It has a removable bolt singularity which is topologically S^4 and its boundary at infinity is the squashed S^7. We also lift our solutions to ten and eleven dimensions and construct fundamental string and membrane configurations that preserve 1/16 of the original supersymmetries.

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