Calculations for Mirror Symmetry with D-branes

Abstract

We study normal functions capturing D-brane superpotentials on several one- and two-parameter Calabi-Yau hypersurfaces and complete intersections in weighted projective space. We calculate in the B-model and interpret the results using mirror symmetry in the large volume regime, albeit without identifying the precise A-model geometry in all cases. We identify new classes of extensions of Picard-Fuchs equations, as well as a novel type of topology changing phase transition involving quantum D-branes. A 4-d domain wall which is obtained in one region of closed string moduli space from wrapping a four-chain interpolating between two Lagrangian submanifolds is, for other values of the parameters, represented by a disk ending on a single Lagrangian.

42 pages

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Cited by in corpus (26)

• Infinite Distances in Field Space and Massless Towers of States
• Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
• Computing Brane and Flux Superpotentials in F-theory Compactifications
• The N=1 effective actions of D-branes in Type IIA and IIB orientifolds
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• The Geometry of D-Brane Superpotentials
• Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
• 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
• D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds
• A Note on Computations of D-brane Superpotential
• Picard-Fuchs Equations for Relative Periods and Abel-Jacobi Map for Calabi-Yau Hypersurfaces
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Remarks on quiver gauge theories from open topological string theory
• Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
• Flat Connections in Open String Mirror Symmetry
• Off-shell D-Brane/F-Theory Effective Superpotentials and Ooguri-Vafa Invariants of Several Compact Calabi-Yau Manifolds
• 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
• 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
• Effective Superpotentials of Type II D-brane/F-theory on Compact Complete Intersection Calabi-Yau Threefolds
• B-type D-branes in hybrid models
• D-brane Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds
• Topics in Open Topological Strings