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arXiv · 2207.13721

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

Konstantinos Tsagkaris·Erik Plauschinn
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Abstract

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.

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Konstantinos Tsagkaris, Erik Plauschinn. 2023-01-18. Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$. https://doi.org/10.1007/jhep03(2023)049

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