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Super-Ehlers in Any Dimension

arXiv:1206.1255 · doi:10.1007/JHEP11(2012)068

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 Poincaré duality. The latter resides in the nature of regularly embedded quotient subgroups which are non-compact rank preserving.

1+55 pages; 15 Tables, 6 Figures; v2 : some clarifications added in Sec. 1 and in App. A