All Standard Model particle types and the SU(3)xSU(2)xU(1) gauge structure are placed inside the matrix algebra M(8,C), built from the octonions, with two leftover states.
A Comment on Ano maly Cancellation in the Standard Model,
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The Unified Standard Model
All Standard Model particle types and the SU(3)xSU(2)xU(1) gauge structure are placed inside the matrix algebra M(8,C), built from the octonions, with two leftover states.