@anisomorphism@RBehiel I think I understand but I have a clarifying question. The fact that U1 and SU2 act on their fermion fields in identical ways to Spin2 and Spin3, staying within their respective spin space, is just due to the exceptional isomorphism between the two?
@RBehiel Its just always seemed strange to me that physics all the way up to electroweak dynamics fits into the Dirac algebra, but QCD requires these strange internal degrees of freedom that, at least for me, has been very hard to get a geometric intuition of. Looking forward to the vid!