There is also a variant of conformal Killing-Yano tensors
Killing-Yano tensors serve as “square roots” of Killing tensor. In a spacetime with a Killing tensor the relativistic particle has an extra conserved quantity. If it refines to a Killing-Yano tensor then also the spinning particle or superparticle has an extra odd conserved quantity. If then this is an extra worldline supersymmetry.
The Kerr spacetime admits a conformal Killing-Yano tensor (…)
O. P. Santillan, Killing-Yano tensors and some applications (arXiv:1108.0149)
Jacek Jezierski, Maciej Łukasik, Conformal Yano-Killing tensor for the Kerr metric and conserved quantities (arXiv:gr-qc/0510058)
W. Dietz and R. Rüdiger, Space-Times Admitting Killing-Yano Tensors. I Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences Vol. 375, No. 1762 (Mar. 31, 1981), pp. 361 (JSTOR)