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arXiv 0808.2223hep-th
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F-理论中的破GUT群

Breaking GUT Groups in F-Theory

Ron Donagi, Martijn Wijnholt

摘要:

我们考虑了在F理论紧化中通过打开一定的U(1)通量使GUT群破缺为标准模型规范群的可能性。我们证明了无质量超荷的要求等价于局部模型UV完备化的拓扑约束。这种机制的可能性是F理论所固有的。我们讨论了这种情况的一些现象学特征。我们表明,我们的模型预测单极在传统的大统一模型。我们详细讨论了规范动力学项的领先阈值修正及其对统一的影响。它们与Ray-Singer扭转有关。我们还讨论了F理论模型中的质子衰变问题,并解释了如何设计满足当前实验边界的模型。

英文摘要:

We consider the possibility of breaking the GUT group to the Standard Model gauge group in F-theory compactifications by turning on certain U(1) fluxes. We show that the requirement of massless hypercharge is equivalent to a topological constraint on the UV completion of the local model. The possibility of this mechanism is intrinsic to F-theory. We address some of the phenomenological signatures of this scenario. We show that our models predict monopoles as in conventional GUT models. We discuss in detail the leading threshold corrections to the gauge kinetic terms and their effect on unification. They turn out to be related to Ray-Singer torsion. We also discuss the issue of proton decay in F-theory models and explain how to engineer models which satisfy current experimental bounds.

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