1993/10/15 by J. W. van Holten, van Holten, J. W.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9310092
13 pages, Lecture at the workshop on Constraint Theory and Quantization Methods, Montepulciano (It) june/july 1993, NIKHEF-H/93-25
arxiv created 1993/10/15 · arxiv updated 2009/11/30
The usual extensions of supersymmetry require the existence of a complex structure and the formulation of the theory on Kähler 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.