Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

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

doi:10.1007/s00220-013-1846-3

Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

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

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	17-39
Number of pages	23
Journal	Communications in Mathematical Physics
Volume	325
Issue number	1
DOIs	https://doi.org/10.1007/s00220-013-1846-3
Publication status	Published - Jan 2014

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abstract = "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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AB - 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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Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems

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