Killing tensors and a new geometric duality

Details Killing tensors and a new geometric duality Killing tensors and a new geometric duality

1995-11-23

arxiv.org/abs/hep-th/9511166v1

Nucl.Phys.B472:427-446,1996

Physics

High Energy Physics

High Energy Physics - Theory

20 pages (a4), standard LaTeX, no figures

Scientific paper

10.1016/0550-3213(96)00206-4

We present a theorem describing a dual relation between the local geometry of a space admitting a symmetric second-rank Killing tensor, and the local geometry of a space with a metric specified by this Killing tensor. The relation can be generalized to spinning spaces, but only at the expense of introducing torsion. This introduces new supersymmetries in their geometry. Interesting examples in four dimensions include the Kerr-Newman metric of spinning black-holes and self-dual Taub-NUT.

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