Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes

TL;DR

This paper explores the existence of dual metrics and non-generic supersymmetries in Siklos spacetimes, revealing conditions under which these spacetimes admit special tensors and supercharges, with implications for their geometric and physical properties.

Contribution

It demonstrates that Siklos spacetimes can admit dual metrics and non-generic supercharges under certain restrictions, expanding understanding of their geometric structures.

Findings

Siklos spacetimes admit dual metrics under specific conditions.

Existence of non-generic supercharges linked to Killing-Yano tensors.

Potential significance of dual spacetimes discussed.

Abstract

The presence of Killing-Yano tensors implies the existence of non-generic supercharges in spinning point particle theories on curved backgrounds. Dual metrics are defined through their associated non-degenerate Killing tensors of valence two. Siklos spacetimes, which are the only non-trivial Einstein spaces conformal to non-flat pp-waves are investigated in regards to the existence of their corresponding Killing and Killing-Yano tensors. It is found that under some restrictions, pp-wave metrics and Siklos spacetimes admit dual metrics and non-generic supercharges. Possible significance of those dual spacetimes are discussed.