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arXiv · 1810.03685

Determinantal Calabi-Yau varieties in Grassmannians and the Givental $I$-functions

Yoshinori Honma·Masahide Manabe
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Abstract

We examine a class of Calabi-Yau varieties of the determinantal type in Grassmannians and clarify what kind of examples can be constructed explicitly. We also demonstrate how to compute their genus-0 Gromov-Witten invariants from the analysis of the Givental $I$-functions. By constructing $I$-functions from the supersymmetric localization formula for the two dimensional gauged linear sigma models, we describe an algorithm to evaluate the genus-0 A-model correlation functions appropriately. We also check that our results for the Gromov-Witten invariants are consistent with previous results for known examples included in our construction.

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Yoshinori Honma, Masahide Manabe. 2018-10-08. Determinantal Calabi-Yau varieties in Grassmannians and the Givental $I$-functions. https://doi.org/10.1007/jhep12(2018)046

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