Integrality structures in topological strings and quantum 2-functions
Abstract In this article, we first prove the integrality of an explicit disc counting formula obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named generalized conifolds. Then, motivated by the integrality structures in open topological string theory, we introduce a mathem...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2022)043 |
| _version_ | 1818202136098373632 |
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| author | Shengmao Zhu |
| author_facet | Shengmao Zhu |
| author_sort | Shengmao Zhu |
| collection | DOAJ |
| description | Abstract In this article, we first prove the integrality of an explicit disc counting formula obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named generalized conifolds. Then, motivated by the integrality structures in open topological string theory, we introduce a mathematical notion of “quantum 2-function” which can be viewed as the quantization of the notion of “2-function” introduced by Schwarz, Vologod-sky and Walcher. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions. |
| first_indexed | 2024-12-12T03:04:39Z |
| format | Article |
| id | doaj.art-2c747d7c01dd4e75bc0e9b9b96c16910 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T03:04:39Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2c747d7c01dd4e75bc0e9b9b96c169102022-12-22T00:40:32ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022512110.1007/JHEP05(2022)043Integrality structures in topological strings and quantum 2-functionsShengmao Zhu0Department of Mathematics, Zhejiang Normal UniversityAbstract In this article, we first prove the integrality of an explicit disc counting formula obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named generalized conifolds. Then, motivated by the integrality structures in open topological string theory, we introduce a mathematical notion of “quantum 2-function” which can be viewed as the quantization of the notion of “2-function” introduced by Schwarz, Vologod-sky and Walcher. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions.https://doi.org/10.1007/JHEP05(2022)043Differential and Algebraic GeometryString DualityTopological Field TheoriesTopological Strings |
| spellingShingle | Shengmao Zhu Integrality structures in topological strings and quantum 2-functions Journal of High Energy Physics Differential and Algebraic Geometry String Duality Topological Field Theories Topological Strings |
| title | Integrality structures in topological strings and quantum 2-functions |
| title_full | Integrality structures in topological strings and quantum 2-functions |
| title_fullStr | Integrality structures in topological strings and quantum 2-functions |
| title_full_unstemmed | Integrality structures in topological strings and quantum 2-functions |
| title_short | Integrality structures in topological strings and quantum 2-functions |
| title_sort | integrality structures in topological strings and quantum 2 functions |
| topic | Differential and Algebraic Geometry String Duality Topological Field Theories Topological Strings |
| url | https://doi.org/10.1007/JHEP05(2022)043 |
| work_keys_str_mv | AT shengmaozhu integralitystructuresintopologicalstringsandquantum2functions |