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Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
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String theory leads to a flavor scheme where modular symmetries play a crucial role. Together with the traditional flavor symmetries they combine to an eclectic flavor group, which we determine via outer automorphisms of the Narain space group. Unbroken flavor symmetries are subgroups of this eclectic group and their size depends on the location in moduli space. This mechanism of local flavor unification allows a different flavor structure for different sectors of the theory (such as quarks and leptons) and also explains the spontaneous breakdown of flavor- and CP-symmetries (via a motion in moduli space). We derive the modular groups, including CP and R-symmetries, for different sub-sectors of six-dimensional string compactifications and determine the general properties of the allowed flavor groups from this top-down perspective. It leads to a very predictive flavor scheme that should be confronted with the variety of existing bottom-up constructions of flavor symmetry in order to clarify which of them could have a consistent top-down completion.
Forward citations
Cited by 3 Pith papers
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Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture
Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...
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Flavor Symmetries and Winding Modes
In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.
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Non-Abelian orbifolds of the SO(32) heterotic string
Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.
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