论文标题
IIB类型的模量稳定在$ h^{2,1} = 50 $中
Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
论文作者
论文摘要
我们研究了具有O3和O7-planes的IIB字符串理论的Calabi-Yau Orientifold压缩中的模量稳定。我们考虑了一个hodge Number $ h^{2,1} = 50 $的Calabi-yau三倍，并通过三型通量稳定所有轴 - 二元和复杂结构模量。这是一项具有挑战性的任务，尤其是对于大型模量空间维度。为了解决这个问题，我们开发了一种算法，以生成$ 10^5 $通量真空吸尘器，带有小通量编号$ n _ {\ rm flux} $。根据Crinò等人的最新结果。我们估计tadpole-cancellation条件施加的限制为$ n _ {\ rm flux} \ leq \ mathcal o（10^3）$，但是，我们在搜索中获得的最小通量数是$ n _ {\ rm flux} = \ mathcal o（\ nathcal o（10^^{4}）$。这尤其意味着对于我们数据集中的F端方程的所有解决方案，就满足了t的the unduceure。
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 $N_{\rm flux}$. Based on recent results by Crinò et al. we estimate the bound imposed by the tadpole-cancellation condition as $N_{\rm flux}\leq \mathcal O(10^3)$, however, the smallest flux number we obtain in our search is of order $N_{\rm flux}=\mathcal O(10^{4})$. This implies, in particular, that for all solutions to the F-term equations in our data set the tadpole conjecture is satisfied.
