Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

Mathematics – Rings and Algebras

Scientific paper

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25 pages

Scientific paper

We determine explicit orbit representatives of reducible Jordan algebras and
of their corresponding Freudenthal triple systems. This work has direct
application to the classification of extremal black hole solutions of N = 2, 4
locally supersymmetric theories of gravity coupled to an arbitrary number of
Abelian vector multiplets in D = 4, 5 space-time dimensions.

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