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.
Keywords
Cite
@article{arxiv.0904.4905,
title = {Calculations for Mirror Symmetry with D-branes},
author = {Johannes Walcher},
journal= {arXiv preprint arXiv:0904.4905},
year = {2009}
}
Comments
42 pages