Quantum Gaudin model, spin chains, and universal characters

DOI10.1063/5.0019138zbMath1456.82148OpenAlexW3094526138MaRDI QIDQ5141109

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Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/5.0019138

zbMATH Keywords

Kadomtsev-Petviashvili hierarchyHirota bilinear equationsquantum Gaudin model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Vlasov equations (35Q83)

Related Items (2)

Supersymmetric quantum spin chains and modified universal characters ⋮ \(q\)-universal characters and an extension of the lattice \(q\)-universal characters

Cites Work

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• The master \(T\)-operator for vertex models with trigonometric \(R\)-matrices as a classical \(\tau\)-function
• Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
• Classical tau-function for quantum spin chains
• Solitons and infinite dimensional Lie algebras
• Universal characters and \(q\)-Painlevé systems
• Universal character and \(q\)-difference Painlevé equations
• The master \(T\)-operator for the Gaudin model and the KP hierarchy
• Universal characters and an extension of the KP hierarchy
• Modified KP and discrete KP
• Universal characters, integrable chains and the Painlevé equations
• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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