Octonions and Mtheory
Abstract
We explain how structures related to octonions are ubiquitous in Mtheory. All the exceptional Lie groups, and the projective Cayley line and plane appear in Mtheory. Exceptional G_2holonomy manifolds show up as compactifying spaces, and are related to the M2 Brane and 3form. We review this evidence, which comes from the initial 11dim structures. Relations between these objects are stressed, when extant and understood. We argue for the necessity of a better understanding of the role of the octonions themselves (in particular nonassociativity) in Mtheory.
 Publication:

arXiv eprints
 Pub Date:
 January 2003
 DOI:
 10.48550/arXiv.hepth/0301037
 arXiv:
 arXiv:hepth/0301037
 Bibcode:
 2003hep.th....1037B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 pages, iopart.sty, Presented at the the 24th International Colloquium on GroupTheoretical Methods in Physics. Paris, July 1522, 2.002