Matsumoto, Yoshio; Sakamura, Yutaka Yukawa couplings in 6D gauge-Higgs unification on \(T^2/Z_N\) with magnetic fluxes. (English) Zbl 1361.81166 PTEP, Prog. Theor. Exper. Phys. 2016, No. 5, Article ID 053B06, 29 p. (2016). Summary: We discuss the Yukawa couplings in 6D gauge-Higgs unification models on \(T^2/Z_N\) in the presence of magnetic fluxes. We provide general formulae for them, and numerically evaluate their magnitude in a specific model on \(T^2/Z_3\). Thanks to the nontrivial profiles of the zero-mode wave functions, the top quark Yukawa coupling can be reproduced without introducing a large representation of the gauge group for matter fields. However, it is difficult to realize small Yukawa couplings only by the magnetic fluxes and the Wilson-line phases because of the complicated structure of the mode functions on \(T^2/Z_N\) (\(N=3,4,6\)). Cited in 3 Documents MSC: 81V22 Unified quantum theories 83E15 Kaluza-Klein and other higher-dimensional theories 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory PDFBibTeX XMLCite \textit{Y. Matsumoto} and \textit{Y. Sakamura}, PTEP, Prog. Theor. Exper. Phys. 2016, No. 5, Article ID 053B06, 29 p. (2016; Zbl 1361.81166) Full Text: DOI arXiv