Resurgence of Refined Topological Strings and Dual Partition Functions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Alexandrov, Sergey, Mariño, Marcos, Pioline, Boris
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212347
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Resurgence of Refined Topological Strings and Dual Partition Functions. Sergey Alexandrov, Marcos Mariño and Boris Pioline. SIGMA 20 (2024), 073, 34 pages

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...