Super-Ehlers in Any Dimension

TL;DR

This paper classifies the enhanced helicity symmetry of the Ehlers group in extended supergravity theories across all dimensions, explaining the structure of associated cosets via Poincaré duality and subgroup embeddings.

Contribution

It provides a comprehensive classification of the Ehlers group's enhanced helicity symmetry in supergravity theories for any dimension, linking coset structures to Poincaré duality.

Findings

Classification of the Ehlers group's enhanced symmetry in supergravity.

Explanation of coset structures via Poincaré duality.

Identification of non-compact rank-preserving subgroup embeddings.

Abstract

We classify the enhanced helicity symmetry of the Ehlers group to extended supergravity theories in any dimension. The vanishing character of the pseudo-Riemannian cosets occurring in this analysis is explained in terms of Poincar\'e duality. The latter resides in the nature of regularly embedded quotient subgroups which are non-compact rank preserving.