Ooguri-Vafa Invariants and Off-shell Superpotentials of Type II/F-theory compactification
Feng-Jun Xu, Fu-Zhong Yang
TL;DR
This paper advances the calculation of off-shell superpotentials for specific Calabi-Yau manifolds and derives Ooguri-Vafa invariants using open mirror symmetry, deepening understanding of string compactifications.
Contribution
It introduces a method to compute off-shell superpotentials for multi-parameter Calabi-Yau manifolds and extracts Ooguri-Vafa invariants via open mirror symmetry.
Findings
Calculated off-shell superpotentials for two Calabi-Yau manifolds with three parameters.
Derived Ooguri-Vafa invariants using open mirror symmetry.
Extended previous work to more complex manifold configurations.
Abstract
In this paper, we make a further step of \cite{Feng} and calculate off-shell superpotential of two Calabi-Yau manifold with three parameters by integrating the period of subsystem. We also obtain the Ooguri-Vafa invariants with open mirror symmetry.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometry and complex manifolds · Geometric Analysis and Curvature Flows