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Journal of High Energy Physics

, 2018:46 | Cite as

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

  • Yoshinori Honma
  • Masahide ManabeEmail author
Open Access
Regular Article - Theoretical Physics

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.

Keywords

Topological Strings Differential and Algebraic Geometry Sigma Models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Current Legal StudiesMeiji Gakuin UniversityYokohamaJapan
  2. 2.School of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia

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