Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
复制标题
具有 Z_3 x Z_3 威尔逊线的椭圆 Calabi-Yau 三重
DOI：
10.1088/1126-6708/2004/12/062
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
René Reinbacher
中科院分区：
文献类型：
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作者：
V. Braun;B. Ovrut;T. Pantev;René Reinbacher
构造了具有第一同伦群Z_3 x Z_3的环面纤维Calabi-Yau三重纤维，它是两个dP_9曲面的纤维积的自由商。这种类型的Calabi-Yau三重线承认Z_3 x Z_3 Wilson线。与SU(4)全纯向量束结合，这种真空导致了除了SU(3)_C x SU(2)_L x U(1)_Y标准模型规范群之外，具有右手中微子和U(1)_{B-L}规范因子的无异常粒子物理三代模型。这个因素有助于自然地抑制核子衰变。讨论了三次元的模空间和Dolbeault上同调。
A torus fibered Calabi-Yau threefold with first homotopy group Z_3 x Z_3 is constructed as a free quotient of a fiber product of two dP_9 surfaces. Calabi-Yau threefolds of this type admit Z_3 x Z_3 Wilson lines. In conjunction with SU(4) holomorphic vector bundles, such vacua lead to anomaly free, three generation models of particle physics with a right handed neutrino and a U(1)_{B-L} gauge factor, in addition to the SU(3)_C x SU(2)_L x U(1)_Y standard model gauge group. This factor helps to naturally suppress nucleon decay. The moduli space and Dolbeault cohomology of the threefold is also discussed.