Killing-Yano tensors and generalized supersymmetries in black-hole and monopole geometries

TL;DR

This paper explores how Killing-Yano tensors underpin new supersymmetries in models describing spinning particles in black-hole and monopole backgrounds, revealing their geometric origins and providing illustrative examples.

Contribution

It establishes the connection between Killing-Yano tensors and supersymmetries in classical background geometries, with specific examples in black-hole and monopole contexts.

Findings

Identification of new supersymmetries linked to Killing-Yano tensors

Explanation of the geometric origin of these supersymmetries

Examples demonstrating the role of Killing-Yano tensors in specific backgrounds

Abstract

New kinds of supersymmetry arise in supersymmetric $\sg$-models describing the motion of spinning point-particles in classical backgrounds, for example black-holes, or the dynamics of monopoles. Their geometric origin is the existence of Killing-Yano tensors. The relation between these concepts is explained and examples are given. --- Contribution to Proceedings Quarks-94; Vladimir, Russia (1994).