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

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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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hep-th 1

years

2019 1

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CONDITIONAL 1

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A toolkit for twisted chiral superfields

hep-th · 2019-08-16 · conditional · novelty 4.0

The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case is omitted.

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  • A toolkit for twisted chiral superfields hep-th · 2019-08-16 · conditional · none · ref 31 · internal anchor

    The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case is omitted.