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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Zhu, S. Integrality structures in topological strings and quantum 2-functions. J. High Energ. Phys. 2022, 43 (2022). https://doi.org/10.1007/JHEP05(2022)043
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DOI: https://doi.org/10.1007/JHEP05(2022)043