Resurgence of Refined Topological Strings and Dual Partition Functions
We study the resurgent structure of the refined topological string partition function on a non-compact Calabi-Yau threefold, at large orders in the string coupling constant ₛ and fixed refinement parameter b. For ≠ 1, the Borel transform admits two families of simple poles, corresponding to integra...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212347 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Resurgence of Refined Topological Strings and Dual Partition Functions. Sergey Alexandrov, Marcos Mariño and Boris Pioline. SIGMA 20 (2024), 073, 34 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669927167557632 |
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| author | Alexandrov, Sergey Mariño, Marcos Pioline, Boris |
| author_facet | Alexandrov, Sergey Mariño, Marcos Pioline, Boris |
| citation_txt | Resurgence of Refined Topological Strings and Dual Partition Functions. Sergey Alexandrov, Marcos Mariño and Boris Pioline. SIGMA 20 (2024), 073, 34 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the resurgent structure of the refined topological string partition function on a non-compact Calabi-Yau threefold, at large orders in the string coupling constant ₛ and fixed refinement parameter b. For ≠ 1, the Borel transform admits two families of simple poles, corresponding to integral periods rescaled by and 1/. We show that the corresponding Stokes automorphism is expressed in terms of a generalization of the non-compact quantum dilogarithm, and we conjecture that the Stokes constants are determined by the refined Donaldson-Thomas invariants counting spin- BPS states. This jump in the refined topological string partition function is a special case (unit five-brane charge) of a more general transformation property of wave functions on quantum twisted tori introduced in earlier work by two of the authors. We show that this property follows from the transformation of a suitable refined dual partition function across BPS rays, defined by extending the Moyal star product to the realm of contact geometry.
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| first_indexed | 2026-03-16T13:41:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212347 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T13:41:45Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Alexandrov, Sergey Mariño, Marcos Pioline, Boris 2026-02-05T09:54:53Z 2024 Resurgence of Refined Topological Strings and Dual Partition Functions. Sergey Alexandrov, Marcos Mariño and Boris Pioline. SIGMA 20 (2024), 073, 34 pages 1815-0659 2020 Mathematics Subject Classification: 81T45; 14N35; 34M40; 34M55 arXiv:2311.17638 https://nasplib.isofts.kiev.ua/handle/123456789/212347 https://doi.org/10.3842/SIGMA.2024.073 We study the resurgent structure of the refined topological string partition function on a non-compact Calabi-Yau threefold, at large orders in the string coupling constant ₛ and fixed refinement parameter b. For ≠ 1, the Borel transform admits two families of simple poles, corresponding to integral periods rescaled by and 1/. We show that the corresponding Stokes automorphism is expressed in terms of a generalization of the non-compact quantum dilogarithm, and we conjecture that the Stokes constants are determined by the refined Donaldson-Thomas invariants counting spin- BPS states. This jump in the refined topological string partition function is a special case (unit five-brane charge) of a more general transformation property of wave functions on quantum twisted tori introduced in earlier work by two of the authors. We show that this property follows from the transformation of a suitable refined dual partition function across BPS rays, defined by extending the Moyal star product to the realm of contact geometry. The authors would like to thank Murad Alim, Tom Bridgel, Alba Grassi, Jie Guand Joerg Teschner for valuable discussions. We would also like to thank the anonymous referees for their useful and detailed comments, which helped in improving the presentation of our results. The research of MM is supported in part by the ERC-SyG project “Recursive and Exact New QuantumTheory” (ReNewQuantum), which received funding from the European Research Council (ERC)under the European Union’s Horizon 2020 research and innovation program, grant agreement No. 810573. The research of BP is supported by Agence Nationale de la Recherche under contract number ANR-21-CE31-0021. SA and BP would like to thank the Isaac Newton Institute for Mathematical Sciences in Cambridge (supported by EPSRC grant EP/R014604/1) for hospitality during the programme Black holes: bridges between number theory and holographic quantum information, where work on this Project was undertaken. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Resurgence of Refined Topological Strings and Dual Partition Functions Article published earlier |
| spellingShingle | Resurgence of Refined Topological Strings and Dual Partition Functions Alexandrov, Sergey Mariño, Marcos Pioline, Boris |
| title | Resurgence of Refined Topological Strings and Dual Partition Functions |
| title_full | Resurgence of Refined Topological Strings and Dual Partition Functions |
| title_fullStr | Resurgence of Refined Topological Strings and Dual Partition Functions |
| title_full_unstemmed | Resurgence of Refined Topological Strings and Dual Partition Functions |
| title_short | Resurgence of Refined Topological Strings and Dual Partition Functions |
| title_sort | resurgence of refined topological strings and dual partition functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212347 |
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