Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
Rings and Algebras
2014-09-09 v2 High Energy Physics - Theory
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1108.0908,
title = {Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems},
author = {L. Borsten and M. J. Duff and S. Ferrara and A. Marrani and W. Rubens},
journal= {arXiv preprint arXiv:1108.0908},
year = {2014}
}
Comments
18 pages. Updated to match published version