D-Branes on Calabi-Yau Spaces and Their Mirrors
Abstract
We study the boundary states of D-branes wrapped around supersymmetric cycles in a general Calabi-Yau manifold. In particular, we show how the geometric data on the cycles are encoded in the boundary states. As an application, we analyze how the mirror symmetry transforms D-branes, and we verify that it is consistent with the conjectured periodicity and the monodromy of the Ramond-Ramond field configuration on a Calabi-Yau manifold. This also enables us to study open string worldsheet instanton corrections and relate them to closed string instanton counting. The cases when the mirror symmetry is realized as T-duality are also discussed.
Cite
@article{arxiv.hep-th/9606112,
title = {D-Branes on Calabi-Yau Spaces and Their Mirrors},
author = {Hirosi Ooguri and Yaron Oz and Zheng Yin},
journal= {arXiv preprint arXiv:hep-th/9606112},
year = {2009}
}
Comments
28 pages, LaTeX. The description of the large complex structure limit is corrected. The mirror transformation between D-branes is further clarified