2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis

DOI10.1007/s00220-020-03769-2zbMath1448.81324arXiv1902.06439OpenAlexW3105704903MaRDI QIDQ2191170

Kohei Iwaki

Publication date: 24 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06439

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of deformations of analytic structures to the sciences (32G81) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Painlevé-type functions (33E17)

Related Items (11)

ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS ⋮ Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion ⋮ Quantum curves from refined topological recursion: the genus 0 case ⋮ From topological recursion to wave functions and PDEs quantizing hyperelliptic curves ⋮ Generating Function of Monodromy Symplectomorphism for 2 × 2 Fuchsian Systems and Its WKB Expansion ⋮ Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function ⋮ Voros coefficients and the topological recursion for the hypergeometric differential equation of type (1, 4) ⋮ Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds ⋮ Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies ⋮ A slow review of the AGT correspondence ⋮ Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries

Uses Software

• DLMF

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