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Type II/F-theory superpotentials and Ooguri–Vafa invariants of compact Calabi–Yau threefolds with three deformations

College of Physical Sciences, Graduate University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, P. R. China

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Fu-Zhong Yang

College of Physical Sciences, Graduate University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, P. R. China

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https://doi.org/10.1142/S021773231450062XCited by:2 (Source: Crossref)

Abstract

We calculate the D-brane superpotentials for two Calabi–Yau manifolds with three deformations by the generalized hypergeometric GKZ systems, which give rise to the flux superpotentials 𝒲_GVW of the dual F-theory compactification on the relevant Calabi–Yau fourfolds in the weak decoupling limit. We also compute the Ooguri–Vafa invariants from A-model expansion with mirror symmetry, which are related to the open Gromov–Witten invariants.

Keywords:

PACS: 11.25.Mj, 11.25.Sq, 11.25.Uv, 11.27.+d

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