SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes

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 $D\ge 6$, giving explicit examples for the Myers-Perry black holes in $D=6$ dimensions.

arXiv comment16 pages, REVTeX; Minor changes in the Introduction

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Cited by in corpus (9)

• Black holes, hidden symmetries, and complete integrability
• Hamilton-Jacobi equation for spinning particles near black holes
• Generalized Killing-Yano equations in D=5 gauged supergravity
• Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
• On Integrability of spinning particle motion in higher-dimensional black hole spacetimes
• Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity
• Hidden Symmetries and Geodesics of Kerr spacetime in Kaluza-Klein Theory
• Black hole spacetimes with Killing-Yano symmetries
• Hidden symmetries and Killing spinor of 5-dimensional minimal gauged supergravity solutions