Higher-dimensional lifts of Killing-Yano forms with torsion

TL;DR

This paper demonstrates how Killing-Yano forms with torsion can be extended to higher dimensions via a Kaluza-Klein lift, maintaining their symmetry properties under specific algebraic conditions, with applications to supergravity black holes.

Contribution

It introduces a method for lifting Killing-Yano forms with torsion to higher dimensions, revealing conditions for their symmetry preservation and providing relevant supergravity examples.

Findings

Killing-Yano forms with torsion can be lifted to higher dimensions.

The lift preserves symmetry under an algebraic condition.

Examples include black holes in supergravity.

Abstract

Using a Kaluza-Klein-type lift, it is shown how Killing-Yano forms with torsion can remain symmetries of a higher-dimensional geometry, subject to an algebraic condition between the Kaluza-Klein field strength and the Killing-Yano form. The lift condition's significance is highlighted, and is satisfied by examples of black holes in supergravity.