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Three generations on a local vortex in extra dimensions. (English) Zbl 0969.81656
Summary: We develop an approach to the origin of three generations of the standard model fermions from one generation in a higher-dimensional theory, where four-dimensional fermions appear as zero modes trapped in the core of a topological defect, and the hierarchy of masses and mixings is produced by wave function overlaps in extra dimensions. We present a model with unbroken U(1) symmetry where three zero modes appear on an Abrikosov-Nielsen-Olesen vortex due to nontrivial scalar-fermion interactions.

MSC:
81V22 Unified quantum theories
83E15 Kaluza-Klein and other higher-dimensional theories
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[1] Arkani-Hamed, N.; Schmaltz, M.; Dvali, G.; Shifman, M.; Gherghetta, T.; Pomarol, A.; Kaplan, D.E.; Tait, T.M.; Huber, S.J.; Shafi, Q., Phys. rev. D, Phys. lett. B, Jhep, 0006, 020, (2000)
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