Resurgence, Stokes constants, and arithmetic functions in topological string theory

DOI10.4310/CNTP.2023.V17.N3.A4arXiv2212.10606OpenAlexW4388453031MaRDI QIDQ6069443

Claudia Rella

Publication date: 14 November 2023

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.10606

zbMATH Keywords

Riemann zeta functionCalabi-Yau threefoldsdivisor sum functionsDirichlet \(L\)-functionsresurgencenon-perturbative effectsenumerative invariantsconifold volume conjecturepeacock patternsstrong-weak dualityTS/ST correspondenceWKB double-scaling regime

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Arithmetic functions; related numbers; inversion formulas (11A25) Topological invariants on manifolds (58K65) Dirichlet series, exponential series and other series in one complex variable (30B50) Abel, Borel and power series methods (40G10) Asymptotic representations in the complex plane (30E15)

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