Proposes topological leptogenesis where a new gapped topological order sector cancels the SM B-L anomaly and BSM dark matter consists of decaying line/surface defects with anyon charges.
Global anomalies in the Standard Model(s) and Beyond
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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).
From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
citing papers explorer
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Topological Leptogenesis
Proposes topological leptogenesis where a new gapped topological order sector cancels the SM B-L anomaly and BSM dark matter consists of decaying line/surface defects with anyon charges.
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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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Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension
From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
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Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.