Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras
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Publication:1597906
DOI10.1016/S0550-3213(02)00248-1zbMath0995.37044arXivhep-th/0111066OpenAlexW2026678246MaRDI QIDQ1597906
Alexander Gorsky, Vladimir Rubtsov, Harry W. Braden, Alexander Odesskii
Publication date: 3 June 2002
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0111066
Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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Defects and quantum Seiberg-Witten geometry ⋮ Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials ⋮ Quantum geometry and quiver gauge theories ⋮ An integrable system on the moduli space of rational functions and its variants. ⋮ On the status of DELL systems ⋮ Hamiltonian formulation and integrability of a complex symmetric nonlinear system ⋮ Poisson brackets after Jacobi and Plücker ⋮ The quantum DELL system ⋮ Seiberg-Witten curves and double-elliptic integrable systems ⋮ Three-particle integrable systems with elliptic dependence on momenta and theta function identities ⋮ BPS states in omega background and integrability ⋮ Double Inozemtsev limits of the quantum DELL system ⋮ On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta ⋮ Dualities in quantum integrable many-body systems and integrable probabilities. I.
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