SUSY in the sky

Mar 22, 1993
24 pages
Published in:
  • Nucl.Phys.B 404 (1993) 42-64
e-Print:
Report number:
  • NIKHEF-H93-04,
  • DAMTP-R-92-43

Citations per year

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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