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.

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

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• The Flavor Group Delta(6n^2)
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Cited by in corpus (55)

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• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• Eclectic flavor scheme from ten-dimensional string theory -- I. Basic results
• Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
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• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
• Half-integral weight modular forms and application to neutrino mass models
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• The eclectic flavor symmetry of the ${\mathbb{Z}}_2$ orbifold
• CP Symmetry and Symplectic Modular Invariance
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• The first string-derived eclectic flavor model with realistic phenomenology
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• $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau =\omega$
• Modular symmetry at level 6 and a new route towards finite modular groups
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• A minimal modular invariant neutrino model
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• Top-Down Anatomy of Flavor Symmetry Breakdown
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• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
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• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism
• Subcritical regime of hybrid inflation with modular $A_4$ symmetry
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• Flavor's Delight
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• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• Modular flavored dark matter
• Orbifolds from $\mathrm{Sp}(4,\mathbb{Z})$ and their modular symmetries
• New Physics Hints from Flavour
• Modular Flavour Symmetries and Modulus Stabilisation
• Flavor and CP from String Theory