Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models

Abstract

We study the modular symmetry anomaly in magnetized orbifold models. The non-perturbative effects such as D-brane instanton effects can break tree-level symmetry. We study which part of the modular symmetry is broken explicitly by Majorana mass terms with three generations of neutrinos. The modular weight of neutrino mass terms does not match with other coupling terms in tree-level Lagrangian. In addition, the $Z_N$ symmetry of the modular flavor symmetry is broken and a certain normal subgroup of the modular flavor symmetry remains in neutrino mass terms.

32 pages

References in corpus (17)

• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrino Majorana Masses from String Theory Instanton Effects
• (Non-)Abelian discrete anomalies
• Computation of D-brane instanton induced superpotential couplings - Majorana masses from string theory
• Three generation magnetized orbifold models
• Metaplectic Flavor Symmetries from Magnetized Tori
• Higher Order Couplings in Magnetized Brane Models
• Classification of three-generation models on magnetized orbifolds
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Zero-mode counting formula and zeros in orbifold compactifications
• Anomaly of non-Abelian discrete symmetries
• Gauge anomalies of finite groups
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models

Cited by in corpus (3)

• Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models
• Generalized Matter Parities from Finite Modular Symmetries
• Modular flavored dark matter