Determinantal Calabi-Yau varieties in Grassmannians and the Givental I-functions
| Autor: | Masahide Manabe, Yoshinori Honma |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Class (set theory) 010308 nuclear & particles physics Computer Science::Information Retrieval 010102 general mathematics Sigma Topological Strings Algebraic geometry Type (model theory) 01 natural sciences Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry 0103 physical sciences lcsh:QC770-798 Calabi–Yau manifold Differential and Algebraic Geometry lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 0101 mathematics Mathematics::Symplectic Geometry Sigma Models |
| Zdroj: | Journal of High Energy Physics, Vol 2018, Iss 12, Pp 1-50 (2018) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep12(2018)046 |
| Popis: | 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. Comment: 50 pages |
| Databáze: | OpenAIRE |
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