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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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References:

[1] Huber, S. J.; Shafi, Q.
[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] Randjbar-Daemi, S.; Shaposhnikov, M., Phys. Lett. B, 491, 329 (2000)
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