Moduli stabilisation for chiral global models
Moduli stabilisation for chiral global models
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手性全局模型的模量稳定性
DOI：
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发表时间：
2011
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通讯作者：
R. Valandro
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作者：
M. Cicoli;C. Mayrhofer;R. Valandro
摘要我们将模量稳定性和（手性）模型构建结合在 IIB/F 型理论中完全一致的全局设置中。我们考虑 Calabi-Yau 东方褶皱的紧致化，它允许用环面几何进行明确的描述。我们通过选择适当的膜设置和世界体积通量，通过蝌蚪和 Freed-Witten 异常消除来构建全局一致的压缩，这也产生了 SU(5) 或类似 MSSM 的手性模型。我们修复了凯勒锥内的所有凯勒模量以及 4D 有效场理论的有效性范围。这是通过与手性的局部存在兼容的方式实现的。产生非微扰效应的隐藏扇区被放置在与任何其他膜没有任何手性交叉的del Pezzo除数上。一般来说，D 项消失意味着支撑可见部门的刚性除数的收缩。然而，我们通过在一组 n 个相交除数上生成 r < n D 项条件来避免这个问题。剩余的 (n − r) 平坦方向通过对凯勒势的微扰修正来固定。我们用一个明确的例子来说明我们的一般主张。我们考虑具有四个凯勒模量的 K3 纤维 Calabi-Yau，它是环面环境空间中的超曲面，并允许“简单”F 理论提升。我们提出了膜设置和通量的明确选择，这导致了三种不同的现象学场景：第一个是通过微调背景通量来使用 GUT 尺度弦和 TeV 尺度 SUSY；第二个具有指数大的体积值和TeV级SUSY，无需微调背景通量；第三种具有非常各向异性的配置，可产生 TeV 级弦和两个微米级的额外维度。 Calabi-Yau 三重的 K3 纤维结构也特别适合宇宙学目的。
A bstractWe combine moduli stabilisation and (chiral) model building in a fully con-sistent global set-up in Type IIB/F-theory. We consider compactifications on Calabi-Yau orientifolds which admit an explicit description in terms of toric geometry. We build globally consistent compactifications with tadpole and Freed-Witten anomaly cancellation by choosing appropriate brane set-ups and world-volume fluxes which also give rise to SU(5) or MSSM-like chiral models. We fix all the Kähler moduli within the Kähler cone and the regime of validity of the 4D effective field theory. This is achieved in a way compatible with the local presence of chirality. The hidden sector generating the non-perturbative effects is placed on a del Pezzo divisor that does not have any chiral intersection with any other brane. In general, the vanishing D-term condition implies the shrinking of the rigid divisor supporting the visible sector. However, we avoid this problem by generating r < n D-term conditions on a set of n intersecting divisors. The remaining (n − r) flat directions are fixed by perturbative corrections to the Kähler potential. We illustrate our general claims in an explicit example. We consider a K3-fibred Calabi-Yau with four Kähler moduli, that is a hypersurface in a toric ambient space and admits a ‘simple’ F-theory up-lift. We present explicit choices of brane set-ups and fluxes which lead to three different phenomenological scenarios: the first with GUT-scale strings and TeV-scale SUSY by fine-tuning the background fluxes; the second with an exponentially large value of the volume and TeV-scale SUSY without fine-tuning the background fluxes; and the third with a very anisotropic configuration that leads to TeV-scale strings and two micron-sized extra dimensions. The K3 fibration structure of the Calabi-Yau three-fold is also particularly suitable for cosmological purposes.