Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
arXiv:1507.08342 · doi:10.1007/JHEP03(2016)160
Abstract
Compactifications with fluxes and branes motivate us to study various enumerative invariants of Calabi-Yau manifolds. In this paper, we study non-perturbative corrections depending on both open and closed string moduli for a class of compact Calabi-Yau manifolds in general dimensions. Our analysis is based on the methods using relative cohomology and generalized hypergeometric system. For the simplest example of compact Calabi-Yau fivefold, we explicitly derive the associated Picard-Fuchs differential equations and compute the quantum corrections in terms of the open and closed flat coordinates. Implications for a kind of open-closed duality are also discussed.
46 pages, 6 figures. v2: minor corrections
References in corpus (21)
- Phases Of N=2 Theories In 1+1 Dimensions With Boundary
- Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
- Enumerative geometry of Calabi-Yau 4-folds
- N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
- Opening Mirror Symmetry on the Quintic
- Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
- Disk enumeration on the quintic 3-fold
- Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
- Calculations for Mirror Symmetry with D-branes
- Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
- Exact Kahler Potential for Calabi-Yau Fourfolds
- Mirror Symmetry for Toric Branes on Compact Hypersurfaces
- D-brane Superpotentials: Geometric and Worldsheet Approaches
- M-theory on Calabi-Yau Five-Folds
- Comments on the Holomorphic Anomaly in Open Topological String Theory
- Open Gromov-Witten theory on Calabi-Yau three-folds II
- Counting pseudo-holomorphic discs in Calabi-Yau 3 fold
- Multi-Point Virtual Structure Constants and Mirror Computation of CP^2-model
- The holomorphic anomaly for open string moduli
- Monodromy of an Inhomogeneous Picard-Fuchs Equation
- Localization computation of one-point disk invariants of projective Calabi-Yau complete intersections