# Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra

@article{Furey2018ThreeGT, title={Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra}, author={Nichol Furey}, journal={Physics Letters B}, year={2018}, volume={785}, pages={84-89} }

Abstract A considerable amount of the standard model's three-generation structure can be realised from just the 8 C -dimensional algebra of the complex octonions. Indeed, it is a little-known fact that the complex octonions can generate on their own a 64 C -dimensional space. Here we identify an s u ( 3 ) ⊕ u ( 1 ) action which splits this 64 C -dimensional space into complexified generators of S U ( 3 ) , together with 48 states. These 48 states exhibit the behaviour of exactly three… Expand

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