University of Hertfordshire

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Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

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Original languageEnglish
Pages (from-to)17-39
Number of pages23
JournalCommunications in Mathematical Physics
Publication statusPublished - Jan 2014
Externally publishedYes


We determine explicit orbit representatives of reducible Jordan algebras and 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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