Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions

Abstract

We study discrete flavor symmetries of the models based on a ten-dimensional supersymmetric Yang-Mills (10D SYM) theory compactified on magnetized tori. We assume non-vanishing non-factorizable fluxes as well as the orbifold projections. These setups allow model-building with more various flavor structures. Indeed, we show that there exist various classes of non-Abelian discrete flavor symmetries. In particular, we find that $S_3$ flavor symmetries can be realized in the framework of the magnetized 10D SYM theory for the first time.

40 pages, 22 figures

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• Stringy origin of non-Abelian discrete flavor symmetries
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Three generation magnetized orbifold models
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Cited by in corpus (10)

• Classification of three-generation models on magnetized orbifolds
• Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• Modular symmetry and zeros in magnetic compactifications
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations