Symmetric Spaces of Exceptional Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for $G_2$ and $F_4$ respectively are easily explained from the octonionic nature of these groups. The 4+3+2 cases on the $E_{6,7,8}$ series require the magic square of Freudenthal and, for the split case, an appeal to the supergravity chain in $5, 4$ and 3 spacetime dimensions.
Presented at the 27th ICGTMP (2008), Yerevan (Armenia)

Keywords

Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/173173

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0554
 http://arxiv.org/abs/0811.0554

Collections

arXiv