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

References in corpus (7)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
• 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
• Integrality theorems in the theory of topological strings
• An Exponential History of Functions with Logarithmic Growth

Cited by in corpus (1)

• Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector