D-branes and Normal Functions

Abstract

We explain the B-model origin of extended Picard-Fuchs equations satisfied by the D-brane superpotential on compact Calabi-Yau threefolds. Via the Abel-Jacobi map, the domainwall tension is identified with a Poincare normal function--a transversal holomorphic section of the Griffiths intermediate Jacobian. Within this formalism, we derive the extended Picard-Fuchs equation associated with the mirror of the real quintic.

44 pages, 3 figures

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Cited by in corpus (24)

• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• The D5-brane effective action and superpotential in N=1 compactifications
• Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
• Real Mirror Symmetry for One-parameter Hypersurfaces
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• The Geometry of D-Brane Superpotentials
• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
• Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
• Evidence for Tadpole Cancellation in the Topological String
• D-brane Superpotentials: Geometric and Worldsheet Approaches
• Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
• D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds
• A Note on Computations of D-brane Superpotential
• Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Remarks on quiver gauge theories from open topological string theory
• Taming open/closed string duality with a Losev trick
• Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces
• Orientifolds and D-branes in N=2 gauged linear sigma models
• Off-shell D-Brane/F-Theory Effective Superpotentials and Ooguri-Vafa Invariants of Several Compact Calabi-Yau Manifolds
• Non-Factorizable Branes on the Torus
• Type II/F-theory Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds with Three Deformations
• D-brane superpotentials, SU(2) Ooguri-Vafa invariants and TypeII/F -theory duality
• D-brane Superpotentials and Ooguri-Vafa Invariants of Compact Calabi-Yau Threefolds