Note on three-generation models in heterotic string and F-theory on elliptic Calabi-Yau manifolds over Hirzebruch varieties
Note on three-generation models in heterotic string and F-theory on elliptic Calabi-Yau manifolds over Hirzebruch varieties
复制标题
关于杂种优势串三代模型和 Hirzebruch 品种椭圆 Calabi-Yau 流形 F 理论的注记
DOI：
10.1093/ptep/ptw142
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发表时间：
2016
影响因子：
3.5
通讯作者：
Shun'ya Mizoguchi,Tomoki Sakaguchi
中科院分区：
文献类型：
--
作者：
吉川尚孝;谷峻太郎;田中耕一郎;Shun'ya Mizoguchi,Tomoki Sakaguchi
我们给出了一类在（广义）Hirzebruch簇上椭圆Calabi-Yau上的杂化弦理论及其对偶F-理论中的三代模型的完整列表，其中光滑Weierstrass模型所需的相关线丛的因子是有效的.对eta类的界的最严格的约束来自Looijenga加权射影空间中最高Casimir对应的丛的因子的有效性，以及来自环面簇的紧致性。还与文献中获得的列表进行了比较。
We give a complete list of a class of three-generation models inheterotic string theory and its dual F-theory on an elliptic Calabi–Yau over a (generalized) Hirzebruch variety in which the divisors of the relevant line bundles needed for a smooth Weierstrass model are effective. The most stringent constraint on the bound of the eta class comes from the effectiveness of the divisor of the bundle corresponding to the highest Casimir in Looijenga's weighted projective space, as well as from the compactness of the toric variety. Comparison is also made with the list obtained in the literature.