SU(3) flavor decomposition 3 ⊗ 3̄ = 1 ⊕ 8 (standard-model)

Standard-model application of L0 representation-theory and simple-group theory. SU(3)_flavor is a simple compact Lie group, and its fundamental rep 3 = (u, d, s) together with its conjugate 3̄ generate the meson (q q̄) and baryon (qqq)…