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2011

N=2 supersymmetric particle near extreme Kerr throat

Bellucci, Stefano, Krivonos, Sergey

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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.

N=2 supersymmetric particle near extreme Kerr throat · Around

Built on

E. Ivanov, V. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations”, Teor.Mat.Fiz. 25
1975
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V. de Alfaro, S. Fubini, G. Furlan, “Conformal Invariance in Quantum Mechanics”, Nuovo Cim. A34
1976
Earlier work this paper cites.
E.A. Ivanov, S.O. Krivonos, V.M. Leviant, “Geometric Superfield Approach To Superconformal Mechanics”, J.Phys. A22
1989
Earlier work this paper cites.
E.A. Ivanov, S.O. Krivonos, V.M. Leviant, “Geometry Of Conformal Mechanics”, J.Phys. A22
1989
Earlier work this paper cites.

Similar

V. Berezovoj, A. Pashnev, “On the Structure of the N=4 Supersymmetric Quantum Mechanics in D=2 and D=3”, Class. Quant. Grav. 13
1996
Cited alongside, same era.
J. Bardeen, G.T. Horowitz, “The Extreme Kerr throat geometry: A Vacuum analog of A d S ( 2 ) × S 2 AdS(2)\times S^{2} ”, Phys.Rev. D60
1999
Cited alongside, same era.
S. Bellucci, A. Galajinsky, E. Ivanov, S. Krivonos, “AdS(2)/CFT(1), canonical transformations and superconformal mechanics”, Phys.Lett. B555
2003
Cited alongside, same era.
A. Galajinsky, “Particle dynamics on A d S 2 × S 2 AdS_{2}\times S^{2} background with two-form flux”, Phys.Rev. D78
Original
2008
Cited alongside, same era.
S. Fedoruk, E. Ivanov, J. Lukierski, “Galilean Conformal Mechanics from Nonlinear Realizations”, arXiv:1101.1658[hep-th]
Original
Cited in the paper.

Then

T. Hakobyan, A. Nersessian, “Lobachevsky geometry of (super)conformal mechanics”, Phys.Lett. A373
Original
2009
Later among the works it cites.
A. Galajinsky, “Particle dynamics near extreme Kerr throat and supersymmetry”, JHEP 1011 (2010) 126, arXiv:1009.2341[hep-th]
Original
2010
Later among the works it cites.
T. Hakobyan, S. Krivonos, O. Lechtenfeld, A. Nersessian, “Hidden symmetries of integrable conformal mechanical systems”, Phys.Lett. A374
Original
2010
Later among the works it cites.
A. Galajinsky, K. Orekhov, “N=2 superparticle near horizon of extreme Kerr-Newman-AdS-dS black hole”, Nucl.Phys. B850
Original
2011
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