D-branes at toric singularities: model building, Yukawa couplings and flavour physics

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 i...

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Bibliographic Details
Published in:The journal of high energy physics 2010-06, Vol.2010 (6), Article 92
Main Authors: Krippendorf, Sven, Dolan, Matthew J., Maharana, Anshuman, Quevedo, Fernando
Format: Article
Language:English
Subjects:
Branes
Classical and Quantum Gravitation
Couplings
CP violation
Dimers
Elementary Particles
Flavor (particle physics)
Gauge theory
High energy physics
Molecular structure
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Singularities
String Theory
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2010)092