Eclectic flavor scheme from ten-dimensional string theory -- I. Basic results

Abstract

In a consistent top-down approach based on orbifold compactifications, modular and traditional flavor symmetries combine nontrivially to the so-called eclectic flavor symmetry. We extend this scheme from two extra dimensions, discussed previously, to the six extra dimensions of string theory. By doing so, new insights on the nature of CP and its spontaneous breaking emerge. Moreover, we identify a new interpretation of R-symmetries as unbroken remnants from modular symmetries that are associated with geometrically stabilized complex structure moduli. Hence, all symmetries (i.e. modular, traditional flavor, CP and R) share a common origin in string theory: on a technical level, they are given by outer automorphisms of the Narain space group. The eclectic top-down approach leads to a very restrictive scheme with high predictive power. It remains a challenge to connect this with existing bottom-up constructions of modular flavor symmetry.

14 pages, 2 tables

References in corpus (22)

• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Stringy origin of non-Abelian discrete flavor symmetries
• Unification of Flavor, CP, and Modular Symmetries
• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• A String Theory of Flavor and CP
• A note on the predictions of models with modular flavor symmetries
• Eclectic Flavor Groups
• Lessons from eclectic flavor symmetries
• Modular Flavor Symmetry on Magnetized Torus
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
• CP violation and modular symmetries
• Lepton and Quark Mixing Patterns from Finite Flavor Symmetries
• A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• T-duality orbifolds of heterotic Narain compactifications
• Non-Abelian discrete R symmetries
• Higgs versus Matter in the Heterotic Landscape
• Note on the space group selection rule for closed strings on orbifolds
• GAP listing of the finite subgroups of U(3) of order smaller than 2000
• Stringy Origin of Discrete R-symmetries

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