Spinors and Octonions

Details Spinors and Octonions Spinors and Octonions

2004-09-29

arxiv.org/abs/math-ph/0409077v1

Physics

Mathematical Physics

To appear in the Galindofest Proceedings

Scientific paper

Octonions are introduced through some spin representations. The groups $G_2$,
$F_4$ and the $E$ series appear in a natural manner; one way to understand
octonions is as the "second coming" of the reals, but with the spinors instead
of vectors. Some physical applications in $M$- and $F$-theory as putative
"theories of everything" are suggested.

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