SUSY in the sky

Details SUSY in the sky SUSY in the sky

1993-03-19

arxiv.org/abs/hep-th/9303112v1

Nucl.Phys.B404:42-64,1993

Physics

High Energy Physics

High Energy Physics - Theory

28, NIKHEF-H/93-04 and DAMTP R92/43

Scientific paper

10.1016/0550-3213(93)90472-2

Spinning particles in curved space-time can have fermionic symmetries generated by the square root of bosonic constants of motion other than the Hamiltonian. We present a general analysis of the conditions under which such new supersymmetries appear, and discuss the Poisson-Dirac algebra of the resulting set of charges, including the conditions of closure of the new algebra. An example of a new non-trivial supersymmetry is found in black-hole solutions of the Kerr-Newman type and corresponds to the Killing-Yano tensor, which plays an important role in solving the Dirac equation in these black-hole metrics.

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