Real Mirror Symmetry for One-parameter Hypersurfaces

Abstract

We study open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces in weighted projective space. We identify mirror pairs of D-brane configurations, derive the corresponding inhomogeneous Picard-Fuchs equations, and solve for the domainwall tensions as analytic functions over moduli space. Our calculations exemplify several features that had not been seen in previous work on the quintic or local Calabi-Yau manifolds. We comment on the calculation of loop amplitudes.

42 pages, 2 figures

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Cited by in corpus (33)

• D-brane Instantons in Type II String Theory
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• The D5-brane effective action and superpotential in N=1 compactifications
• Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
• Effective superpotentials for compact D5-brane Calabi-Yau geometries
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
• The Geometry of D-Brane Superpotentials
• Calculations for Mirror Symmetry with D-branes
• Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
• Mirror Symmetry for Toric Branes on Compact Hypersurfaces
• The Volume Conjecture and Topological Strings
• Non-perturbative effects and wall-crossing from topological strings
• D-brane Superpotentials: Geometric and Worldsheet Approaches
• Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
• Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
• A Note on Computations of D-brane Superpotential
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• M-theory interpretation of the real topological string
• Bending of Light and Inhomogeneous Picard-Fuchs Equation
• Flat Connections in Open String Mirror Symmetry
• On the Arithmetic of D-brane Superpotentials. Lines and Conics on the Mirror Quintic
• Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector
• Towards a gauge theory interpretation of the real topological string
• Non-Factorizable Branes on the Torus
• Type II/F-theory Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds with Three Deformations
• Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
• Topics in Open Topological Strings
• Real topological string amplitudes
• D-brane Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds
• Bulk deformations of open topological string theory