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

TL;DR

This paper demonstrates that spinning particles in specific supersymmetric backgrounds of minimal supergravities exhibit invariance under symmetries derived from twisted covariant form hierarchies, linking to separability properties of gravitational backgrounds.

Contribution

It reveals the invariance of spinning particles under twisted covariant form hierarchy symmetries in D=4,5 minimal supergravities, connecting supersymmetry and separability features.

Findings

Spinning particles are invariant under twisted covariant form hierarchy symmetries.

Comparison with Killing-Yano form symmetries highlights different invariance mechanisms.

Results enhance understanding of symmetry structures in supergravity backgrounds.

Abstract

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