SUSY in the sky
Mar 22, 199324 pages
Published in:
- Nucl.Phys.B 404 (1993) 42-64
e-Print:
- hep-th/9303112 [hep-th]
Report number:
- NIKHEF-H93-04,
- DAMTP-R-92-43
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Abstract:
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.- space-time
- particle: spin
- spin: particle
- supersymmetry: algebra
- Dirac equation
- black hole
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