An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge symmetry X = B - 3(L_i + L_j - L_k).
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In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.
Classifies dyonic lattices consistent with SM gauge structure, re-derives θ periodicities, reduces physical θ-space to a 2-torus, and shows one axion is insufficient for full CP invariance.
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Quark-Lepton Color-Flavor Unification
An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge symmetry X = B - 3(L_i + L_j - L_k).
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Dyonic lattices, $\theta$-angles and axions in the Standard Model
Classifies dyonic lattices consistent with SM gauge structure, re-derives θ periodicities, reduces physical θ-space to a 2-torus, and shows one axion is insufficient for full CP invariance.