复曲面奇点处的D-膜：模型建立、汤川耦合和味物理
D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics
摘要：
我们讨论了在复曲面奇点处D-膜模型的一般性质。利用二聚体技术从奇点的结构得到规范理论，得到相应的规范理论的物质扇区和超势结果。我们表明，在复曲面阶段的家庭的数量总是小于或等于三个，唯一的例外是第零Hirzebruch表面。在三代的物理输入下，我们发现最轻的夸克族是无质量的，另外两个夸克族的质量可以分级分离。我们计算CKM矩阵的显式模型在这种情况下，发现奇点具有足够的结构，以允许现实的世代之间的混合和CP破坏。
英文摘要：
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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