Relation Between Holonomy Groups in Superstrings, M and F-theories
High Energy Physics - Theory
2008-06-27 v1 Mathematical Physics
math.MP
Abstract
We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively. The relations of these groups with the octonions are discussed, reinforcing their role in the physics of string theory and duality. We also exhibit three triple exact sequences explaining the connections between the mentioned special holonomy groups.
Cite
@article{arxiv.0806.4265,
title = {Relation Between Holonomy Groups in Superstrings, M and F-theories},
author = {Adil Belhaj and Luis J. Boya and Antonio Segui},
journal= {arXiv preprint arXiv:0806.4265},
year = {2008}
}
Comments
17 pages