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

References in corpus (4)

• N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
• Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
• Boundary RG Flows of N=2 Minimal Models
• Open string mirror maps from Picard- Fuchs equations on relative cohomology

Cited by in corpus (1)

• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings