Jordan Pairs, E6 and U-Duality in Five Dimensions

Abstract

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.

1+41 pages, 1 Table; v2 : a Ref. and some comments added

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• The Magic of Being Exceptional
• On Dimensional Reduction of Magical Supergravity Theories
• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• On an Algebraic Structure of Dimensionally Reduced Magical Supergravity Theories
• Vinberg's T-Algebras. From Exceptional Periodicity to Black Hole Entropy