# zbMATH — the first resource for mathematics

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
Full Text:
##### References:
 [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) [2] Libanov, M.V.; Troitsky, S.V. [3] Witten, E., Nucl. phys. B, 249, 557, (1985) [4] Arkani-Hamed, N.; Dimopoulos, S.; Dvali, G.; March-Russell, J. [5] Cohen, A.G.; Kaplan, D.B.; Gregory, R.; Olasagasti, I.; Vilenkin, A.; Gherghetta, T.; Shaposhnikov, M.; Gherghetta, T.; Roessl, E.; Shaposhnikov, M.; Randjbar-Daemi, S.; Shaposhnikov, M., Phys. lett. B, Phys. rev. lett., Phys. rev. D, Phys. rev. lett., Phys. lett. B, Phys. lett. B, 491, 329, (2000)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.