Realistic Yukawa Couplings through Instantons in Intersecting Brane Worlds

Abstract

The Yukawa couplings of the simpler models of D-branes on toroidal orientifolds suffer from the so-called ``rank one'' problem -- there is only a single non-zero mass and no mixing. We consider the one-loop contribution of E2-instantons to Yukawa couplings on intersecting D6-branes, and show that they can solve the rank one problem. In addition they have the potential to provide a geometric explanation for the hierarchies observed in the Yukawa coupling. In order to do this we provide the necessary quantities for instanton calculus in this class of background.

17 pages, 1 figure. Published version

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• Modular Invariance Faces Precision Neutrino Data
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• Non-Abelian discrete gauge symmetries in 4d string models
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• Non-perturbative effects on seven-brane Yukawa couplings
• Modular Invariant Models of Lepton Masses at Levels 4 and 5
• Dirac Gauginos and Kinetic Mixing
• Automorphic Forms and Fermion Masses
• Discrete flavor symmetries in D-brane models
• Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
• Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• CP Symmetry and Symplectic Modular Invariance
• Hierarchies from D-brane instantons in globally defined Calabi-Yau Orientifolds
• Up-type quark masses in SU(5) F-theory models
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Superpotentials From Stringy Instantons Without Orientifolds
• Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• Gauge Thresholds and Kaehler Metrics for Rigid Intersecting D-brane Models
• Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models
• D-instanton Induced Superpotential
• Musings on cosmological relaxation and the hierarchy problem
• Yukawa Corrections from Four-Point Functions in Intersecting D6-Brane Models
• Classical solutions for exotic instantons?
• Yukawa couplings and masses of non-chiral states for the Standard Model on D6-branes on T6/Z6'
• Superpotential de-sequestering in string models
• Correlators of arbitrary untwisted operators and excited twist operators for N branes at angles
• Non-perturbative Vacuum Destabilization and D-brane Dynamics
• Holomorphic variables in magnetized brane models with continuous Wilson lines
• D-brane Instantons in 4D Supersymmetric String Vacua
• D-instanton, threshold corrections, and topological string
• One-loop Yukawa Couplings in Local Models
• One-loop adjoint masses for non-supersymmetric intersecting branes
• Canonical quantization of a string describing $N$ branes at angles
• One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators
• D-instanton derivation of multi-fermion F-terms in supersymmetric QCD
• Realistic Four-Generation MSSM in Type II String Theory
• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
• Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes
• Instanton induced Yukawa couplings from distant E3 and E(-1) instantons
• (D)-instanton effects in magnetized brane worlds
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• The Classical Solution for the Bosonic String in the Presence of Three D-branes Rotated by Arbitrary SO(4) Elements
• Supersymmetric Radiative Flavour