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

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Manabe,  Masahide
Max Planck Institute for Mathematics, Max Planck Society;

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Honma, Y., & Manabe, M. (2018). Determinantal Calabi-Yau varieties in Grassmannians and the Givental I-functions. Journal of High Energy Physics, 2018(12): 046. doi:10.1007/JHEP12(2018)046.


Cite as: http://hdl.handle.net/21.11116/0000-0003-DE93-D
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.