Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds

Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds

We study the modular symmetry on magnetized toroidal orbifolds with Scherk-Schwarz phases. In particular, we investigate finite modular flavor groups for three-generation modes on magnetized orbifolds. The three-generation modes can be the three-dimensional irreducible representations of covering gr...

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Veröffentlicht in:Physical review. D 2021-09, Vol.104 (6), p.1, Article 065008
Hauptverfasser: Kikuchi, Shota, Kobayashi, Tatsuo, Uchida, Hikaru
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Flavor (particle physics)
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Uchida, Hikaru
description We study the modular symmetry on magnetized toroidal orbifolds with Scherk-Schwarz phases. In particular, we investigate finite modular flavor groups for three-generation modes on magnetized orbifolds. The three-generation modes can be the three-dimensional irreducible representations of covering groups and central extended groups of ΓN for N = 3, 4, 5, 7, 8, 16, that is, covering groups of Δ (6 (N / 2)2) for N = even and central extensions of PSL (2, ZN) for N = odd with Scherk-Schwarz phases. We also study anomaly behaviors.
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title Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
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