SUSY in the sky

1993/03/19 by G. W. Gibbons, R. H. Rietdijk, R.H. Rietdijk +2 · 5 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90472-2

published as Nucl.Phys.B404:42-64,1993 · 28, NIKHEF-H/93-04 and DAMTP R92/43

arxiv created 1993/03/19 · openalex publication_date 1993/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Particle spin dynamics as the grassmann variant of classical mechanics
• Global Structure of the Kerr Family of Gravitational Fields

Cited by

• Separability of Dirac equation in higher dimensional Kerr–NUT–de Sitter spacetime
• Relativistic top deviation equation and gravitational waves
• On the nature of fermion-monopole supersymmetry
• New supersymmetry of the monopole
• Dynamical algebra and Dirac quantum modes in the Taub-NUT background