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Classification of three-generation models on magnetized orbifolds. (English) Zbl 1328.81219
Summary: We classify the combinations of parameters which lead three generations of quarks and leptons in the framework of magnetized twisted orbifolds on \(T^2 / Z_2,\; T^2 / Z_3,\; T^2 / Z_4,\; \text{and}\; T^2 / Z_6\) with allowing nonzero discretized Wilson line phases and Scherk-Schwarz phases. We also analyze two actual examples with nonzero phases leading to one-pair Higgs and five-pair Higgses and discuss the difference from the results without nonzero phases studied previously.

MSC:
81V05 Strong interaction, including quantum chromodynamics
81V15 Weak interaction in quantum theory
57R10 Smoothing in differential topology
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