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Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
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abstract
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 $\Gamma_N$ for $N=3,4,5,7,8,16$, that is, covering groups of $\Delta(6(N/2)^2)$ for $N=$ even and central extensions of $PSL(2,\mathbb{Z}_{N})$ for $N=$odd with Scherk-Schwarz phases. We also study anomaly behaviors.
Forward citations
Cited by 2 Pith papers
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Stringy Constraints on Modular Flavor Models
Heterotic one-loop threshold corrections imply upper bounds on the modulus in modular flavor models, ruling out tau near i infinity for typical dilaton and beta-function values and disfavoring tau = i at large volume.
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Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models
The paper constructs zero-mode wave functions for all chiralities on non-factorizable magnetized T^{2g} and uses them to exhibit three-generation spectra in T^{2g}/Z_N orbifold models.
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