Matter wave functions and Yukawa couplings in F-theory Grand Unification
arXiv:0907.4895 · doi:10.1088/1126-6708/2009/09/036
Abstract
We study the local structure of zero mode wave functions of chiral matter fields in F-theory unification. We solve the differential equations for the zero modes derived from local Higgsing in the 8-dimensional parent action of F-theory 7-branes. The solutions are found as expansions both in powers and derivatives of the magnetic fluxes. Yukawa couplings are given by an overlap integral of the three wave functions involved in the interaction and can be calculated analytically. We provide explicit expressions for these Yukawas to second order both in the flux and derivative expansions and discuss the effect of higher order terms. We explicitly describe the dependence of the couplings on the U(1) charges of the relevant fields, appropriately taking into account their normalization. A hierarchical Yukawa structure is naturally obtained. The application of our results to the understanding of the observed hierarchies of quarks and leptons is discussed.
Latex, 51 pages, 4 figures, typos corrected, note added
References in corpus (30)
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- Les Houches Lectures on Constructing String Vacua
- SUSY Breaking in Local String/F-Theory Models
- New Aspects of Heterotic--F Theory Duality
- Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
- Gauge Coupling Unification in F-theory GUT Models
- Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
- Flipped SU(5) X U(1)_X Models from F-Theory
- Higgs Bundles and UV Completion in F-Theory
- Towards Realistic String Vacua From Branes At Singularities
- Yukawa Couplings in F-theory and Non-Commutative Geometry
- New F-theory lifts
- New F-theory lifts II: Permutation orientifolds and enhanced singularities
- Gauge Mediation in F-Theory GUT Models
- Right-handed Neutrinos in F-theory Compactifications
- Modulus-dominated SUSY-breaking soft terms in F-theory and their test at LHC
- Instantons and SUSY breaking in F-theory
- Fermion Wavefunctions in Magnetized branes: Theta identities and Yukawa couplings
- Open String Wavefunctions in Warped Compactifications
- Wave Functions and Yukawa Couplings in Local String Compactifications
- The Footprint of F-theory at the LHC
- Local Models in F-Theory and M-Theory with Three Generations
- Open string wavefunctions in flux compactifications
- CP Violation and F-theory GUTs
- Kaehler Metrics and Yukawa Couplings in Magnetized Brane Models
- Quark and Lepton Flavor Physics from F-Theory
- SU(5) and SO(10) Models from F-Theory with Natural Yukawa Couplings
- D-branes at Singularities and String Phenomenology
- F-Theory, GUTs and Chiral Matter
- Effective Field Theories for Local Models in F-Theory and M-Theory
Cited by in corpus (47)
- Lectures on F-theory compactifications and model building
- Global F-theory GUTs
- On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
- Particle Physics Implications of F-theory
- G-flux in F-theory and algebraic cycles
- Models of Particle Physics from Type IIB String Theory and F-theory: A Review
- Compact F-theory GUTs with U(1)_PQ
- F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
- On hypercharge flux and exotics in F-theory GUTs
- Froggatt-Nielsen models from E8 in F-theory GUTs
- Non-perturbative effects on seven-brane Yukawa couplings
- Yukawa Couplings in F-theory and Non-Commutative Geometry
- Yukawas and discrete symmetries in F-theory compactifications without section
- More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
- Aspects of Flavour and Supersymmetry in F-theory GUTs
- Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses
- The Higgs mass from a String-Theoretic Perspective
- The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
- Up-type quark masses in SU(5) F-theory models
- Yukawa couplings and fermion mass structure in F-theory GUTs
- Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
- Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
- Chiral matter wavefunctions in warped compactifications
- Wavefunctions and the Point of E8 in F-theory
- Yukawa hierarchies at the point of in F-theory
- SU(3) x SU(2) x U(1) Vacua in F-Theory
- Towards the Standard Model in F-theory
- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- T-branes and -corrections
- Abelian Gauge Fluxes and Local Models in F-Theory
- Fitting fermion masses and mixings in F-theory GUTs
- On Global Flipped SU(5) GUTs in F-theory
- Precision Unification and Proton Decay in F-Theory GUTs with High Scale Supersymmetry
- F-theory and the Witten Index
- Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and Hypercharge Dependent Scalar Masses
- Extended Gauge Symmetries in F-theory
- F-theory and the LHC: Stau Search
- Matter Field Kahler Metric in Heterotic String Theory from Localisation
- R-Parity violation in F-Theory
- Unification, KK-thresholds and the top Yukawa coupling in F-theory GUTs
- MSSM from F-theory SU(5) with Klein Monodromy
- F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
- The String Origin of SUSY Flavor Violation
- T-branes and defects
- Yukawa Hierarchies in Global F-theory Models
- Phenomenological implications of a minimal F-theory GUT with discrete symmetry
- Abelian gauge symmetries and fluxed instantons in compactifications of type IIB and F-theory