On N=1 Mirror Symmetry for Open Type II Strings
Abstract
We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain period and chain integrals. The solutions describe the flat coordinates on the N=1 parameter space, and the exact disc instanton corrected superpotential on the D-brane world-volume. A gauged linear sigma model for the combined open-closed string system is also given. It allows to use methods of toric geometry to describe D-brane phase transitions and the N=1 K\"ahler cone. Applications to a variety of D-brane geometries are described in some detail.
Keywords
Cite
@article{arxiv.hep-th/0111113,
title = {On N=1 Mirror Symmetry for Open Type II Strings},
author = {W. Lerche and P. Mayr},
journal= {arXiv preprint arXiv:hep-th/0111113},
year = {2007}
}
Comments
harvmac, 35 pages (b), 2 figures; v2: typos & references corrected