New supersymetries for spinning particles and black holes

Physics – High Energy Physics – High Energy Physics - Theory

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13 pages, Lecture at the workshop on Constraint Theory and Quantization Methods, Montepulciano (It) june/july 1993, NIKHEF-H/9

Scientific paper

The usual extensions of supersymmetry require the existence of a complex structure and the formulation of the theory on K\"{a}hler manifolds. It is shown, that by relaxing the constraints on the algebra of supercharges we can get new supersymmetries whenever a manifold possesses a structure admitting the existence of a Killing-Yano tensor field. Examples of such manifolds are the Kerr-Newman space-times describing spinning black holes in four dimensions.

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