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

  title={Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra},
  author={C. Furey},
  journal={Physics Letters B},
  • 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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