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arxiv: 1206.0445 · v2 · pith:5RY2P4DHnew · submitted 2012-06-03 · ✦ hep-th · math-ph· math.AG· math.MP

Type II/F-theory Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds with Three Deformations

classification ✦ hep-th math-phmath.AGmath.MP
keywords calabi-yauinvariantssuperpotentialsdeformationsf-theoryooguri-vafathreea-model
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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 $\mathcal{W}_{GVW}$ 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.

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