Feng-Jun Xu, Fu-Zhong Yang
We construct the generalized hypergeometric GKZ systems for two Calabi-Yau manifolds with three parameters and D-branes wrapped on divisors with single open-string moduli, respectively, and further calculate the D-brane superpotentials 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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http://arxiv.org/abs/1206.0445
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