Moduli stabilization in type IIB orientifolds at h^2,1 = 50

Moduli stabilization in type IIB orientifolds at h^2,1 = 50
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h^2,1 = 50 时 IIB 型东方褶皱的模量稳定性

DOI:
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发表时间:
2022
影响因子:
5.4
通讯作者:
Erik Plauschinn
Erik Plauschinn
中科院分区:
物理与天体物理2区
文献类型:
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作者:
K. Tsagkaris;Erik Plauschinn

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我们研究了具有O_3和O_7平面的IIB型弦理论的Calabi-Yau方向紧化的模稳定性。我们考虑Hodge数h^2,1=50的三重Calabi-Yau模型,并用三种形式的通量稳定了所有的轴向伸缩子模和复结构模。这是一项具有挑战性的任务,尤其是对于大模空间维度。为了解决这个问题,我们提出了一个生成10^5个小通量数N_通量真空的算法。基于克里诺等人的最新结果。我们估计蝌蚪抵消条件施加的界限为N_通量≤O$$\数学{O}$$(10^3),然而,我们在搜索中得到的最小通量数为N_通量=O$$\数学{O}$$(10^4)。这特别意味着,对于我们的数据集中的F项方程的所有解,都满足蝌蚪猜想。
We study moduli stabilization in Calabi-Yau orientifold compactifications of type IIB string theory with O3- and O7-planes. We consider a Calabi-Yau three-fold with Hodge number h ^2 , 1 = 50 and stabilize all axio-dilaton and complex-structure moduli by three-form fluxes. This is a challenging task, especially for large moduli-space dimensions. To address this question we develop an algorithm to generate 10^5 flux vacua with small flux number N _flux. Based on recent results by Crinò et al. we estimate the bound imposed by the tadpole-cancellation condition as N _flux ≤ O $$ \mathcal{O} $$ (10^3), however, the smallest flux number we obtain in our search is of order N _flux = O $$ \mathcal{O} $$ (10^4). This implies, in particular, that for all solutions to the F-term equations in our data set the tadpole conjecture is satisfied.
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