A modified E8 model puts the Standard Model inside the so(7,3) subalgebra with compact SU(3), and uses particle coordinates in four dimensions to compute several mixing angles and mass relations.
Penrose (1967), Twistor algebra, J
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Embeddings of the Standard Model in $E_8$
A modified E8 model puts the Standard Model inside the so(7,3) subalgebra with compact SU(3), and uses particle coordinates in four dimensions to compute several mixing angles and mass relations.