Eclectic Flavor Groups

Abstract

The simultaneous study of top-down and bottom-up approaches to modular flavor symmetry leads necessarily to the concept of eclectic flavor groups. These are nontrivial products of modular and traditional flavor symmetries that exhibit the phenomenon of local flavor enhancement in moduli space. We develop methods to determine the eclectic flavor groups that can be consistently associated with a given traditional flavor symmetry. Applying these methods to a large family of prominent traditional flavor symmetries, we try to identify potential candidates for realistic eclectic flavor groups and show that they are relatively rare. Model building with finite modular flavor symmetries thus appears to be much more restrictive than previously thought.

arXiv comment23 pages, 2 tables; v2: interpretation of outer automorphisms clarified

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• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
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• The eclectic flavor symmetry of the ${\mathbb{Z}}_2$ orbifold
• CP Symmetry and Symplectic Modular Invariance
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• Modular $S_4\times SU(5)$ GUT
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• Quasi-Eclectic Modular Flavor Symmetries
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• A minimal modular invariant neutrino model
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• Flipped SU(5) with modular $A_4$ symmetry
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• Neutrino Mass and Mixing Models with Eclectic Flavor Symmetry $\Delta (27)⋊T^{\prime }$
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
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