Libanov, M. V.; Troitsky, S. V. Three fermionic generations on a topological defect in extra dimensions. (English) Zbl 1097.81931 Nucl. Phys., B 599, No. 1-2, 319-333 (2001). Summary: We suggest a mechanism explaining the origin of three generations of the Standard Model fermions from one generation in a higher-dimensional theory. Four-dimensional fermions appear as zero modes trapped in the core of a topological defect with topological number three. We discuss hierarchical pattern of masses and mixings which arises in these models. Cited in 12 Documents MSC: 81V22 Unified quantum theories 81T45 Topological field theories in quantum mechanics 83E15 Kaluza-Klein and other higher-dimensional theories Keywords:standard model; trapped zero modes; hierarchical mixing pattern PDFBibTeX XMLCite \textit{M. V. Libanov} and \textit{S. V. Troitsky}, Nucl. Phys., B 599, No. 1--2, 319--333 (2001; Zbl 1097.81931) Full Text: DOI arXiv References: [1] Randall, L.; Sundrum, R., Phys. Rev. Lett., 83, 3370 (1999) [2] Nakamura, A.; Shiraishi, K., Acta Phys. Pol. B, 21, 11 (1990) [3] Huber, S. J.; Shafi, Q. [4] Jackiw, R.; Rossi, P., Nucl. Phys. B, 190, 681 (1981) [5] Witten, E., Nucl. Phys. B, 249, 557 (1985) [6] Schwarz, A. S., Quantum Field Theory and Topology (1993), Springer: Springer Berlin [7] Gregory, R., Phys. Rev. Lett., 84, 2564 (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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.