SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes

Details SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes

2009-02-14

arxiv.org/abs/0902.2498v2

Phys.Rev.D79:084019,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, REVTeX; Minor changes in the Introduction

Scientific paper

10.1103/PhysRevD.79.084019

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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