Octonionic Gravitational Instantons

Abstract

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.

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

References in corpus (2)

• Self-Duality in D <= 8-dimensional Euclidean Gravity
• Eight-Dimensional Self-Dual Spaces

Cited by in corpus (26)

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• Non-Collapsing Membrane Instantons in Higher Dimensions
• Yang-Mills instantons on 7-dimensional manifold of G_2 holonomy
• Chiral gravity in higher dimensions