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arXiv · 1006.0223

Pfaffian Calabi-Yau Threefolds and Mirror Symmetry

Atsushi Kanazawa
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Abstract

The aim of this article is to report on recent progress in understanding mirror symmetry for some non-complete intersection Calabi-Yau threefolds. We first construct four new smooth non-complete intersection Calabi-Yau threefolds with h^{1,1}=1, whose existence was previously conjectured by C. van Enckevort and D. van Straten. We then compute the period integrals of candidate mirror families of F. Tonoli's degree 13 Calabi-Yau threefold and three of the new Calabi-Yau threefolds. The Picard-Fuchs equations coincide with the expected Calabi-Yau equations. Some of the mirror families turn out to have two maximally unipotent monodromy points.

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Atsushi Kanazawa. 2013-01-11. Pfaffian Calabi-Yau Threefolds and Mirror Symmetry. https://arxiv.org/abs/1006.0223

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