Non-Perturbative Real Topological Strings
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914493275045888 |
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| author | Mariño, Marcos Schwick, Maximilian |
| author_facet | Mariño, Marcos Schwick, Maximilian |
| contents | We study the resurgent structure of Walcher's real topological string on general Calabi-Yau manifolds. We find trans-series solutions to the corresponding holomorphic anomaly equations, at all orders in the string coupling constant, by extending the operator formalism of the closed topological string, and we obtain explicit formulae for multi-instanton amplitudes. We find that the integer invariants counting disks appear as Stokes constants in the resurgent structure, and we provide experimental evidence for our results in the case of the real topological string on local $\mathbb{P}^2$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_12046 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Perturbative Real Topological Strings Mariño, Marcos Schwick, Maximilian High Energy Physics - Theory Mathematical Physics We study the resurgent structure of Walcher's real topological string on general Calabi-Yau manifolds. We find trans-series solutions to the corresponding holomorphic anomaly equations, at all orders in the string coupling constant, by extending the operator formalism of the closed topological string, and we obtain explicit formulae for multi-instanton amplitudes. We find that the integer invariants counting disks appear as Stokes constants in the resurgent structure, and we provide experimental evidence for our results in the case of the real topological string on local $\mathbb{P}^2$. |
| title | Non-Perturbative Real Topological Strings |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2309.12046 |