Holonomy Groups Coming From F-Theory Compactification

Details Holonomy Groups Coming From F-Theory Compactification Holonomy Groups Coming From F-Theory Compactification

2009-11-11

arxiv.org/abs/0911.2125v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures; continuation of arXiv:0806.4265

Scientific paper

We study holonomy groups coming from F-theory compactifications. We focus mainly on SO(8) as 12-4=8 and subgroups SU(4), Spin(7), G2 and SU(3) suitable for descent from F-theory, M-theory and Superstring theories. We consider the relation of these groups with the octonions, which is striking and reinforces their role in higher dimensions and dualities. These holonomy groups are related in various mathematical forms, which we exhibit.

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