Eight-Dimensional Self-Dual Spaces
arXiv:hep-th/9802107 · doi:10.1016/S0370-2693(98)00340-2
Abstract
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.
16 pages, latex
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- Global Supersymmetry on Curved Spaces in Various Dimensions
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- Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
- Topological Gravity versus Supergravity on Manifolds with Special Holonomy
- Eight-Dimensional Topological Gravity and its Correspondence with Supergravity
- Self-Dual N=(1,0) Supergravity in Eight Dimensions with Reduced Holonomy Spin(7)
- Self-Dual Supergravity in Seven Dimensions with Reduced Holonomy G_2
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- Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems
- On the Moyal deformation of Nahm Equations in seven dimensions
- Going down from a 3-form in 16 dimensions
- Non-Collapsing Membrane Instantons in Higher Dimensions