Flavour mixings in flux compactifications

Abstract

A multiplicity of quark-lepton families can naturally arise as zero-modes in flux compactifications. The flavour structure of quark and lepton mass matrices is then determined by the wave function profiles of the zero-modes. We consider a supersymmetric $SO(10)\times U(1)$ model in six dimensions compactified on the orbifold $T^2/{\mathbb{Z}}_2$ with Abelian magnetic flux. A bulk $16$-plet charged under the $U(1)$ provides the quark-lepton generations whereas two uncharged $10$-plets yield two Higgs doublets. Bulk anomaly cancellation requires the presence of additional $16$- and $10$-plets. The corresponding zero-modes form vectorlike split multiplets that are needed to obtain a successful flavour phenomenology. We analyze the pattern of flavour mixings for the two heaviest families of the Standard Model and discuss possible generalizations to three and more generations.

28 pages, 3 figures, 3 tables

References in corpus (4)

• Supersymmetric Standard Model from the Heterotic String (II)
• Classification of three-generation models on magnetized orbifolds
• Local SU(5) Unification from the Heterotic String
• Flux Stabilization in 6 Dimensions: D-terms and Loop Corrections

Cited by in corpus (20)

• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Flavour physics without flavour symmetries
• Wilson lines and UV sensitivity in magnetic compactifications
• Zero-mode counting formula and zeros in orbifold compactifications
• The Toric SO(10) F-Theory Landscape
• Brane-localized masses in magnetic compactifications
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Moduli trapping mechanism in modular flavor symmetric models
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Modular symmetry and zeros in magnetic compactifications
• Magnetized orbifolds and localized flux
• Effects of heavy neutrinos on vacuum stability in two-Higgs-doublet model with GUT scale supersymmetry
• Proton decay in flux compactifications
• Quantum corrections for D-brane models with broken supersymmetry
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Dynamical generation of quark/lepton mass hierarchy in an extra dimension
• Quark mass matrices in magnetized orbifold models with localized Fayet-Iliopoulos terms
• Wavefunctions on $S^2$ with flux and branes