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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Honma, Y., Manabe, M. Determinantal Calabi-Yau varieties in Grassmannians and the Givental I-functions. J. High Energ. Phys. 2018, 46 (2018). https://doi.org/10.1007/JHEP12(2018)046
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DOI: https://doi.org/10.1007/JHEP12(2018)046