R-matrix construction of electromagnetic models for the Painlevé transcendents
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Publication:4873360
DOI10.1063/1.531351zbMath0844.58028arXivhep-th/9406077OpenAlexW3105679134MaRDI QIDQ4873360
Publication date: 16 April 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9406077
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Electromagnetic theory (general) (78A25)
Related Items (7)
Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion ⋮ Isomonodromic deformations: confluence, reduction and quantisation ⋮ Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case ⋮ Belinskii–Zakharov formulation for Bianchi models and Painlevé III equation ⋮ A matrix model with a singular weight and Painlevé III
Cites Work
- What is a classical r-matrix?
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- On the \(\tau \)-function of the Painlevé equations
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- Dual isomonodromic deformations and moment maps to loop algebras
- Dual moment maps into loop algebras
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