SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes

Understand

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.