SUSY in the sky
High Energy Physics - Theory
2009-10-07 v1
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.
Cite
@article{arxiv.hep-th/9303112,
title = {SUSY in the sky},
author = {G. W. Gibbons and R. H. Rietdijk and J. W. van Holten},
journal= {arXiv preprint arXiv:hep-th/9303112},
year = {2009}
}
Comments
28, NIKHEF-H/93-04 and DAMTP R92/43