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We find that spinning particles with suitable couplings propagating incertain supersymmetric backgrounds of $D=4$, $N=2$ and $D=5$, $N=1$ minimalsupergravities are invariant under symmetries generated by the twistedcovariant form hierarchies of these theories. We also compare our results withthe symmetries of spinning particles generated by Killing-Yano forms which areresponsible for the separability properties of some gravitational backgrounds.

Symmetries, Spinning Particles and the TCFH of D=4,5 Minimal Supergravities