Multi-pole extension of the elliptic models of interacting integrable tops
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Publication:2056830
DOI10.1134/S0040577921100020zbMath1482.81043arXiv2104.08982WikidataQ114142378 ScholiaQ114142378MaRDI QIDQ2056830
E. S. Trunina, Andrei V. Zotov
Publication date: 8 December 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.08982
Elliptic curves (14H52) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Statistical mechanics of magnetic materials (82D40) Yang-Baxter equations (16T25) Special quantum systems, such as solvable systems (81Q80) Mono-, di- and multipole moments (EM and other), gyromagnetic relations (81V60)
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Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF-vertex relations and the associative Yang-Baxter equation, Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve
Cites Work
- Unnamed Item
- Unnamed Item
- Planck constant as spectral parameter in integrable systems and KZB equations
- 1+1 Gaudin model
- Stable bundles and integrable systems
- Classical Yang-Baxter equation and the \(A_\infty\)-constraint
- Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix
- Integrable model of interacting elliptic tops
- Some algebraic structures connected with the Yang-Baxter equation
- A generalisation of the Calogero-Moser system
- Etiology of IRF models
- Lie algebras and Lax equations with spectral parameter on an elliptic curve
- The finite Toda lattices
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
- Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
- Characteristic classes and Hitchin systems. General construction
- \(R\)-matrix-valued Lax pairs and long-range spin chains
- Holomorphic bundles and many-body systems
- The \(r\)-matrix structure of the Euler-Calogero-Moser model
- Generalized model of interacting integrable tops
- Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation
- Vector Bundles Over an Elliptic Curve
- Classification of isomonodromy problems on elliptic curves
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.