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Jordan Pairs, E6 and U-Duality in Five Dimensions

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arxiv 1208.0347 v2 pith:MJKXY72F submitted 2012-08-01 math-ph hep-thmath.MP

Sergio Ferrara , Alessio Marrani , Bruno Zumino This is my paper · ORCID
classification math-phhep-thmath.MP
keywords jordanalgebrasstructuretheoriesu-dualityanalyzedbosonicbroad
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By exploiting the Jordan pair structure of U-duality Lie algebras in D = 3 and the relation to the super-Ehlers symmetry in D = 5, we elucidate the massless multiplet structure of the spectrum of a broad class of D = 5 supergravity theories. Both simple and semi-simple, Euclidean rank-3 Jordan algebras are considered. Theories sharing the same bosonic sector but with different supersymmetrizations are also analyzed.

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Cited by 1 Pith paper

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  1. Exceptional Periodicity and Magic Star Algebras. I : Foundations

    math.RT 2019-09 conditional novelty 5.0 of 10

    The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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