On singular fibres in F-theory
On singular fibres in F-theory
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F 理论中的奇异纤维
DOI：
10.1007/jhep07(2013)031
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发表时间：
2013
影响因子：
5.4
通讯作者：
T. Watari
中科院分区：
文献类型：
--
作者：
A. P. Braun;T. Watari
本文提出了场论局部模型（Katz Vafa场论）与椭圆型Calabi-Yau四重（Esole和Yau所考虑的一类四重）的平坦收缩分解中的奇异纤维类型之间的联系。我们详细回顾了规范群SU（5）和SO（10）模型的简并纤维分析，并观察到天真地期望的纤维类型是实现的当且仅当在场论局域模型中Higgs vev是非分歧的。为了验证这个想法，我们实现了一个线性的（非分歧）希格斯vev的“E6”汤川点的规范群SU（5）的模型，并验证这确实会导致一个纤维的科代拉IV型 *。基于这一观察，我们认为i）出现在Esole-Yau研究的四重中的奇异纤维类型一点也不令人困惑，（因此，这类四重函数不必从某些未知的F理论公式的输入数据候选中排除）和ii）这样的四重几何也包含了更多的信息，而不仅仅是场理论局部模型中希格斯场vev配置的本征值。
A bstractIn this paper, we propose a connection between the field theory local model (Katz-Vafa field theory) and the type of singular fibre in flat crepant resolutions of elliptic Calabi-Yau fourfolds, a class of fourfolds considered by Esole and Yau. We review the analysis of degenerate fibres for models with gauge groups SU(5) and SO(10) in detail, and observe that the naively expected fibre type is realized if and only if the Higgs vev in the field theory local model is unramified. To test this idea, we implement a linear (unramified) Higgs vev for the “E6” Yukawa point in a model with gauge group SU(5) and verify that this indeed leads to a fibre of Kodaira type IV*. Based on this observation, we argue i) that the singular fibre types appearing in the fourfolds studied by Esole-Yau are not puzzling at all, (so that this class of fourfolds does not have to be excluded from the candidate of input data of some yet-unknown formulation of F-theory) and ii) that such fourfold geometries also contain more information than just the eigenvalues of the Higgs field vev configuration in the field theory local models.
类固醇的泰特形式：分辨率和更高的余维纤维
影响因子：
5.4
作者：
Lawrie C
通讯作者：
Lawrie C
全局 F 理论 GUT 中的阿贝尔规范对称性和质子衰变
影响因子：
5
作者：
T. W. Grimm;T. Weigand
通讯作者：
T. Weigand
F 理论紧致化中的 G(4)-通量、手性物质和奇点解析
DOI：
10.1016/j.nuclphysb.2011.12.013
发表时间：
2012
期刊：
Nuclear Physics
影响因子：
--
作者：
Krause;Mayrhofer;Weigand
通讯作者：
Weigand