Abstract
The representations of supergroups provide the most precise fit to the known set of fundamental physical matter fields. SU(2/1) describes the unified weak electromagnetic interactions and SU(5 + k/1) contains SU(3)colour and 2k exact “generations”. Moreover, SU(2/1) predicts that the fourth states of the lepton multiplets (i.e., υ OR ) decouple, whereas they do not in quark multiplets, and SU(n/l) predicts that the colour degree of freedom is SU(3). We provide all relevant constructions.
Wolfson Chair Extraordinary in Theoretical Physics; supported in part by the U.S. - Israel Binational Science Foundation and in part by the U.S. Dept. of Energy Contract EY-76-S-05-3992.
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Ne’eman, Y. (1980). Unification Through a Supergroup. In: Ferrara, S., Ellis, J., van Nieuwenhuizen, P. (eds) Unification of the Fundamental Particle Interactions. Ettore Majorana International Science Series, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3171-1_7
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