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arXiv 0906.0003hep-th
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新的F理论提升了II:置换定向折叠和增强奇点

New F-theory lifts II: Permutation orientifolds and enhanced singularities

Andres Collinucci

摘要:

在CICY三重空间上,利用置换对合构造了相应于微扰IIB O 7/O3模型的紧F-理论四重空间.该方法是解释的一般性,然后应用到具体的例子中,对合置换两个Del Pezzo表面。通过比较F-理论和IIB弦论预测的D3电荷,成功地验证了四重结构。构造的光滑四重然后采取的轨迹在模空间,他们有增强的SU(5)奇异性。一个通用的,直观的方法开发工程所需的奇异性在维尔斯特拉斯模型复杂的D 7膜设置。

英文摘要:

In this paper, a procedure is developed to construct compact F-theory fourfolds corresponding to perturbative IIB O7/O3 models on CICY threefolds with permutation involutions. The method is explained in generality, and then applied to specific examples where the involution permutes two Del Pezzo surfaces. The fourfold construction is successfully tested by comparing the D3 charges predicted by F-theory and IIB string theory. The constructed smooth fourfolds are then taken to the locus in moduli space where they have enhanced SU(5) singularities. A general, intuitive method is developed for engineering the desired singularities in Weierstrass models for complicated D7-brane setups.

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