D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics

Abstract

We discuss general properties of D-brane model building at toric singularities. Using dimer techniques to obtain the gauge theory from the structure of the singularity, we extract results on the matter sector and superpotential of the corresponding gauge theory. We show that the number of families in toric phases is always less than or equal to three, with a unique exception being the zeroth Hirzebruch surface. With the physical input of three generations we find that the lightest family of quarks is massless and the masses of the other two can be hierarchically separated. We compute the CKM matrix for explicit models in this setting and find the singularities possess sufficient structure to allow for realistic mixing between generations and CP violation.

55 pages, v2: typos corrected, minor comments added

References in corpus (18)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• SUSY Breaking in Local String/F-Theory Models
• Global F-theory GUTs
• Progress in D-brane model building
• Brane Tilings
• Brane Tilings and Their Applications
• Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
• F-theory Compactifications for Supersymmetric GUTs
• Froggatt-Nielsen models from E8 in F-theory GUTs
• Towards Realistic String Vacua From Branes At Singularities
• Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries
• Instanton Induced Open String Superpotentials and Branes at Singularities
• Aspects of Flavour and Supersymmetry in F-theory GUTs
• CP violation and the CKM matrix
• On mass hierarchies in orientifold vacua
• Classical and Quantum SUSY Breaking Effects in IIB Local Models
• Toric Lego: A method for modular model building
• D-brane Inspired Fermion Mass Textures

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