A Note on ODEs from Mirror Symmetry
High Energy Physics - Theory
2007-05-23 v1
Abstract
We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the instanton corrected Yukawa coupling.
Keywords
Cite
@article{arxiv.hep-th/9407192,
title = {A Note on ODEs from Mirror Symmetry},
author = {A. Klemm and B. H. Lian and S. S. Roan and S. -T. Yau},
journal= {arXiv preprint arXiv:hep-th/9407192},
year = {2007}
}
Comments
24 pages using harvmac