Elliptic linear problem for the Calogero--Inozemtsev model and Painlevé VI equation
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Publication:1877326
DOI10.1023/B:MATH.0000032753.97756.94zbMath1053.34083arXivhep-th/0310260MaRDI QIDQ1877326
Publication date: 16 August 2004
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0310260
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (12)
Limit relation between Toda chains and the elliptic \(\mathrm{SL}(N,\mathbb{C})\) top ⋮ Painlevé VI, rigid tops and reflection equation ⋮ Generalized Bonnet surfaces and Lax pairs of PVI ⋮ Spectral duality between Heisenberg chain and Gaudin model ⋮ Modifications of bundles, elliptic integrable systems, and related problems ⋮ Transformations of spherical blocks ⋮ Inozemtsev system as Seiberg-Witten integrable system ⋮ Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI ⋮ Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation ⋮ Quantum Painlevé-Calogero correspondence for Painlevé VI ⋮ New \(2\times 2\)-matrix linear problems for the Painlevé equations III, V ⋮ Classical-quantum correspondence and functional relations for Painlevé equations
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