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 |
| Summary: | 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. |
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| ISSN: | 1029-8479 |