Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold

Abstract

We generalize the recently proposed mechanism by Demirtas, Kim, McAllister and Moritz arXiv:1912.10047 for the explicit construction of type IIB flux vacua with $|W_0|\ll 1$ to the region close to the conifold locus in the complex structure moduli space. For that purpose tools are developed to determine the periods and the resulting prepotential close to such a codimension one locus with all the remaining moduli still in the large complex structure regime. As a proof of principle we present a working example for the Calabi-Yau manifold ${\mathbb{P}}_{1,1,2,8,12}[24]$.

arXiv comment46 pages, 5 figures

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