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arXiv · 0902.2498

SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes

Haji Ahmedov·Alikram N. Aliev
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Abstract

General higher-dimensional rotating black hole spacetimes of any dimensions admit the Killing and Killing-Yano tensors, which generate the hidden symmetries just as in four-dimensional Kerr spacetime. We study these properties of the black holes using the formalism of supersymmetric mechanics of pseudo-classical spinning point particles. We present two nontrivial supercharges, corresponding to the Killing-Yano and conformal Killing-Yano tensors of the second rank. We demonstrate that an unusual extended Poisson-Dirac algebra of these supercharges results in two independent Killing tensors in spacetime dimensions $ D\geq 6 $, giving explicit examples for the Myers-Perry black holes in $ D = 6 $ dimensions.

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Haji Ahmedov, Alikram N. Aliev. 2009-02-20. SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes. https://doi.org/10.1103/physrevd.79.084019

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