The elliptic Gaudin system with spin

DOI10.1023/A:1014762822143zbMath1029.37047arXivhep-th/0101224OpenAlexW1685996087MaRDI QIDQ1417313

Dmitry Talalaev

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0101224

zbMATH Keywords

theta functionsfinite-gap solutionsHitchin systemalgebraic-geometric symplectic formelliptic Gaudin two-puncture modelinverse spectral sproblemmatrix Davey-Stewartson equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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