Off-shell D-Brane/F-Theory Effective Superpotentials and Ooguri-Vafa Invariants of Several Compact Calabi-Yau Manifolds
Shi Cheng, Feng-Jun Xu, and Fu-Zhong Yang
TL;DR
This paper computes off-shell D-brane and F-theory superpotentials along with Ooguri-Vafa invariants for various compact Calabi-Yau manifolds using the generalized GKZ system and open-closed mirror map.
Contribution
It introduces a method to calculate superpotentials and invariants for compact Calabi-Yau manifolds using generalized GKZ systems and mirror symmetry.
Findings
Explicit superpotential calculations for multiple Calabi-Yau examples
Derivation of Ooguri-Vafa invariants for these manifolds
Validation of the generalized GKZ approach in open-string mirror symmetry
Abstract
According to the generalized GKZ system for CY manifold with brane and the open-closed Mirror map, We calculate the off-shell D-Brane/F-Theory effective superpotentials and Ooguri-Vafa invariants of several compact Calabi-Yau manifolds .
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