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Moduli stabilization in type IIB orientifolds at \(h^{2,1} = 50\). (English) Zbl 07690613

Summary: 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 \(N_{\mathrm{flux}}\). Based on recent results by Crinò et al. we estimate the bound imposed by the tadpole-cancellation condition as \(N_{\mathrm{flux}} \leq \mathcal{O}(10^3)\), however, the smallest flux number we obtain in our search is of order \(N_{\mathrm{flux}} = \mathcal{O}(10^4)\). This implies, in particular, that for all solutions to the F-term equations in our data set the tadpole conjecture is satisfied.

MSC:

81-XX Quantum theory
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