Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

L. Borsten , M. J. Duff , S. Ferrara , A. Marrani , W. Rubens

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classification 🧮 math.RA hep-thmath.RT

keywords algebrasclassificationexplicitfreudenthaljordanorbitreduciblesystems

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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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Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

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