Disc Instantons in Linear Sigma Models
摘要
We construct a linear sigma model for open-strings ending on special Lagrangian cycles of a Calabi-Yau manifold. We illustrate the construction for the cases considered by Aganagic and Vafa in hep-th/0012041. This leads naturally to concrete models for the moduli space of open-string instantons. These instanton moduli spaces can be seen to be intimately related to certain auxiliary boundary toric varieties. By considering the relevant Gelfand-Kapranov-Zelevinsky (GKZ) differential equations of the boundary toric variety, we obtain the contributions to the worldvolume superpotential on the A-branes from open-string instantons. By using an ansatz due to Aganagic, Klemm and Vafa in hep-th/0105045, we obtain the relevant change of variables from the linear sigma model to the non-linear sigma model variables - the open-string mirror map. Using this mirror map, we obtain results in agreement with those of AV and AKV for the counting of holomorphic disc instantons.
引用
@article{arxiv.hep-th/0108234,
title = {Disc Instantons in Linear Sigma Models},
author = {Suresh Govindarajan and T. Jayaraman and Tapobrata Sarkar},
journal= {arXiv preprint arXiv:hep-th/0108234},
year = {2011}
}
备注
1+32 pages, 1 figure, LaTeX2e; (v2) Tables and References added, typos fixed