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

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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.

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Authors and Affiliations

  1. DAMTP, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, U.K.

    Sven Krippendorf, Matthew J. Dolan, Anshuman Maharana & Fernando Quevedo

  2. ICTP, Strada Costiera 11, Trieste, 34151, Italy

    Fernando Quevedo

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  1. Sven Krippendorf
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  2. Matthew J. Dolan
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  3. Anshuman Maharana
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  4. Fernando Quevedo
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Correspondence to Sven Krippendorf.

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ArXiv ePrint: 1002.1790

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Krippendorf, S., Dolan, M.J., Maharana, A. et al. D-branes at toric singularities: model building, Yukawa couplings and flavour physics. J. High Energ. Phys. 2010, 92 (2010). https://doi.org/10.1007/JHEP06(2010)092

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