Degenerate integrability of quantum spin Calogero-Moser systems
From MaRDI portal
Publication:2361101
DOI10.1007/s11005-016-0897-8zbMath1367.81083arXiv1510.00492OpenAlexW3098733872MaRDI QIDQ2361101
Publication date: 29 June 2017
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00492
Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Groups and algebras in quantum theory and relations with integrable systems (81R12) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)
Related Items (14)
Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains ⋮ From spinning conformal blocks to matrix Calogero-Sutherland models ⋮ Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomials ⋮ Algebra of Dunkl Laplace-Runge-Lenz vector ⋮ Integrability of conformal blocks. I: Calogero-Sutherland scattering theory ⋮ Superconformal blocks: general theory ⋮ Poisson-Lie analogues of spin Sutherland models ⋮ Harmony of spinning conformal blocks ⋮ Universal spinning Casimir equations and their solutions ⋮ Trigonometric real form of the spin RS model of Krichever and Zabrodin ⋮ Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models ⋮ New superintegrable models on spaces of constant curvature ⋮ Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone ⋮ Matrix and vectorial generalized Calogero-Moser models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerately integrable systems
- A generalisation of the Calogero-Moser system
- Three integrable Hamiltonian systems connected with isospectral deformations
- Traces of intertwiners for quantum groups and difference equations. I
- Traces of intertwiners for quantum groups and difference equations
- Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems
- Spherical functions on affine Lie groups
- A unified representation-theoretic approach to special functions
- The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
- Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals
- Hidden symmetry of the quantum Calogero-Moser system
- Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners
- Particle propagator of the spin Calogero–Sutherland model
- Twisted spin Sutherland models from quantum Hamiltonian reduction
- Hamiltonian group actions and dynamical systems of calogero type
- Integrability of Calogero-Moser Spin System
- Spin Calogero–Moser systems associated with simple Lie algebras
- Quantum integrable systems and representations of Lie algebras
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
This page was built for publication: Degenerate integrability of quantum spin Calogero-Moser systems
