SUSY in the sky
G.W. Gibbons, R.H. Rietdijk, J.W. van Holten

TL;DR
This paper explores new fermionic supersymmetries in curved space-time, especially in black-hole solutions, revealing conditions for their existence and algebraic structure, with implications for solving the Dirac equation.
Contribution
It provides a general framework for identifying supersymmetries generated by fermionic charges linked to bosonic constants of motion beyond the Hamiltonian.
Findings
Discovery of a new non-trivial supersymmetry in Kerr-Newman black holes
Identification of conditions for supersymmetry algebra closure
Connection between supersymmetries and Killing-Yano tensors
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.
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