Octonions and M-theory

Details Octonions and M-theory Octonions and M-theory

2003-01-07

arxiv.org/abs/hep-th/0301037v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, iopart.sty, Presented at the the 24th International Colloquium on Group-Theoretical Methods in Physics. Paris, July 1

Scientific paper

We explain how structures related to octonions are ubiquitous in M-theory. All the exceptional Lie groups, and the projective Cayley line and plane appear in M-theory. Exceptional G_2-holonomy manifolds show up as compactifying spaces, and are related to the M2 Brane and 3-form. We review this evidence, which comes from the initial 11-dim 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 non-associativity) in M-theory.

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