N=2 supersymmetric particle near extreme Kerr throat

Abstract

We construct a new N=2 supersymmetric extension of a massive particle moving near the horizon of the extreme Kerr black hole. Our supercharges and Hamiltonian contain the proper number of fermions (two for each bosonic variables). The key ingredient of our construction is a proper choice of the bosonic variables which all have a clear geometric meaning.

10 pages, LaTeX file, PACS numbers: 04.70.Bw, 11.30.Pb, 45.10.Na; one reference added, one reference updated

References in corpus (4)

• N=2 superparticle near horizon of extreme Kerr-Newman-AdS-dS black hole
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• Particle dynamics near extreme Kerr throat and supersymmetry
• Lobachevsky geometry of (super)conformal mechanics

Cited by in corpus (14)

• Superconformal mechanics
• Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension
• Near horizon black holes in diverse dimensions and integrable models
• Action-angle variables for the particle near extreme Kerr throat
• N=4 superconformal mechanics from the su(2) perspective
• The structure of invariants in conformal mechanics
• Reducibility of Killing tensors in d>4 NHEK geometry
• Coset construction of AdS particle dynamics
• N=2 superparticle near horizon of a magnetized Kerr black hole
• Super 0--brane action on the coset space of $D(2,1;\alpha )$ supergroup
• Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry
• Action-Angle Variables In Conformal Mechanics
• Remark on near-horizon geometry of extreme regular black holes