D-brane Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds
Feng-Jun Xu, Fu-Zhong Yang
TL;DR
This paper computes D-brane superpotentials and Ooguri-Vafa invariants for specific compact Calabi-Yau threefolds, advancing understanding of open string mirror symmetry and enumerative geometry in string theory.
Contribution
It introduces methods to calculate superpotentials and invariants for non-Fermat type Calabi-Yau manifolds, expanding the scope of mirror symmetry applications.
Findings
Calculated D-brane superpotentials for two non-Fermat Calabi-Yau manifolds.
Constructed open-closed mirror maps for these manifolds.
Computed Ooguri-Vafa invariants related to open Gromov-Witten invariants.
Abstract
We calculate the D-brane superpotentials for two non-Fermat type compact Calabi-Yau manifolds which are the hypersurfaces of the weighed projective spaces in type II string theory. By constructing the open-closed mirror maps, we also compute the Ooguri-Vafa invariants, which are related to the open Gromov-Witten invariants.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic Geometry and Number Theory · Geometry and complex manifolds