Aspects of Flavour and Supersymmetry in F-theory GUTs
arXiv:0910.2413 · doi:10.1007/JHEP01(2010)029
Abstract
We study the constraints of supersymmetry on flavour in recently proposed models of F-theory GUTs. We relate the topologically twisted theory to the canonical presentation of eight-dimensional super Yang-Mills and provide a dictionary between the two. We describe the constraints on Yukawa couplings implied by holomorphy of the superpotential in the effective 4-dimensional supergravity theory, including the scaling with α_{GUT}. Taking D-terms into account we solve explicitly to second order for wavefunctions and Yukawas due to metric and flux perturbations and find a rank-one Yukawa matrix with no subleading corrections.
26 pages; v2. journal version
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- 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
- Flavor Structure in F-theory Compactifications
- Moduli Stabilisation for Chiral Global Models
- More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
- Family symmetries in F-theory GUTs
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- D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics
- The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
- Up-type quark masses in SU(5) F-theory models
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- Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
- Note on moduli stabilization, supersymmetry breaking and axiverse
- Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
- Wavefunctions and the Point of E8 in F-theory
- Chiral matter wavefunctions in warped compactifications
- Rational F-Theory GUTs without exotics
- Yukawa hierarchies at the point of in F-theory
- Towards the Standard Model in F-theory
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- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- Dynamical Supersymmetry Breaking, with Flavor
- Dirac gauginos and unification in F-theory
- Towards a Realistic F-theory GUT
- Flavour in supersymmetry: horizontal symmetries or wave function renormalisation
- Statistics of Flux Vacua for Particle Physics
- T-branes and -corrections
- Abelian Gauge Fluxes and Local Models in F-Theory
- On Singular Fibres in F-Theory
- Fitting fermion masses and mixings in F-theory GUTs
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- 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
- Symmetry Breaking Bulk Effects in Local D-brane Models
- Supersymmetric Radiative Flavour