The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold

TL;DR

This paper explores how Killing-Yano tensors influence supersymmetric mechanics on curved manifolds, revealing their role in symmetries of gravitational and electromagnetic fields and their connection to superinvariants.

Contribution

It systematically analyzes the role of Killing-Yano tensors in supersymmetric mechanics, highlighting their connection to superinvariants and symmetries in curved spacetime.

Findings

Killing-Yano tensors are linked to superinvariants in supersymmetric systems.

The analysis extends to both usual and generalized Killing-Yano tensors.

Results strengthen the understanding of symmetries in gravitational and electromagnetic fields.

Abstract

The supersymmetric extension of charged point particle's motion is applied to investigate symmetries of gravitational fields and electromagnetic fields. We mainly focus on the role of the Killing- Yano tensors of both usual and generalized types. Results obtained by systematic analysis strengthen the connection of the Killing- Yano tensor and superinvariants (functions commuting with the supercharge).