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arXiv · 1007.4181

Eisenstein type series for Calabi-Yau varieties

Hossein Movasati
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Abstract

In this article we introduce an ordinary differential equation associated to the one parameter family of Calabi-Yau varieties which is mirror dual to the universal family of smooth quintic three folds. It is satisfied by seven functions written in the $q$-expansion form and the Yukawa coupling turns out to be rational in these functions. This is a generalization of the Ramanujan differential equation satisfied by three Eisenstein series.

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BibTeXRIS

Hossein Movasati. 2010-09-20. Eisenstein type series for Calabi-Yau varieties. https://doi.org/10.1016/j.nuclphysb.2011.01.028

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