NSBL-EP-014 The SU7 Structure of O14 and Boson-Fermion Couplings
We construct the O14 algebra in terms of the tensorial representations of its SU7 subalgebra. Subsequently, we construct the gauge-invariant boson-fermion coupling, and decompose it completely into terms exhibiting color SU3 and family SU3 symmetries. A picture of the particle spectrum emerges where quarks and leptons, as well as vector bosons, would appear as singlets or triplets with respect to family SU3. Accordingly, we conjecture the possible existence of a 4th generation of fermions, as well as the imminent existence of other
W-like vector bosons, in high-energy collider experiments.
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