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arXiv 1105.1858hep-thhep-phmath-phmath.MP
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关于F-理论的GUT标度SU(5)

On the GUT scale of F-Theory SU(5)

G. K. Leontaris, N. D. Vlachos

摘要:

在F理论大统一理论中,由规范多重态和物质多重态产生的Kaluza-Klein质量模的阈值修正在确定有效低能模型的弱混合角和强规范耦合中起着重要的作用。在这封信中,我们进一步探讨了应变计联轴器运行和GUT规模的诱导修改。特别是,我们专注于从物质曲线的KK-贡献,并分析手性和希格斯物质谱的条件,这意味着一个大统一的规模符合最小统一的情况。作为一个应用程序,我们提出了一个明确的计算这些阈值的物质领域居住在特定的非平凡黎曼曲面。

英文摘要:

In F-theory GUTs, threshold corrections from Kaluza-Klein massive modes arising from gauge and matter multiplets play an important role in the determination of the weak mixing angle and the strong gauge coupling of the effective low energy model. In this letter we further explore the induced modifications on the gauge couplings running and the GUT scale. In particular, we focus on the KK-contributions from matter curves and analyse the conditions on the chiral and Higgs matter spectrum which imply a GUT scale consistent with the minimal unification scenario. As an application, we present an explicit computation of these thresholds for matter fields residing on specific non-trivial Riemann surfaces.

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