# 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={C. Furey},
journal={Physics Letters B},
year={2018}
}
• C. Furey
• Published 1 October 2018
• Physics, Mathematics
• Physics Letters B
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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