A Note on ODEs from Mirror Symmetry

Details A Note on ODEs from Mirror Symmetry A Note on ODEs from Mirror Symmetry

1994-07-29

arxiv.org/abs/hep-th/9407192v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages using harvmac

Scientific paper

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.

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