A Note on ODEs from Mirror Symmetry

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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.
24 pages using harvmac

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/53934

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9407192
 http://arxiv.org/abs/hep-th/9407192

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arXiv