Poisson-Lie analogues of spin Sutherland models
From MaRDI portal
Publication:2186420
DOI10.1016/j.nuclphysb.2019.114807zbMath1435.81094arXiv1809.01529OpenAlexW2981475884WikidataQ126994277 ScholiaQ126994277MaRDI QIDQ2186420
Publication date: 9 June 2020
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.01529
Spinor and twistor methods applied to problems in quantum theory (81R25) Geodesics in global differential geometry (53C22) Compact groups (22C05) Simple groups: alternating groups and groups of Lie type (20D06) Topological groupoids (including differentiable and Lie groupoids) (22A22) Coadjoint orbits; nilpotent varieties (17B08)
Related Items
Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ Poisson reductions of master integrable systems on doubles of compact Lie groups ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction ⋮ Integrable system of generalized relativistic interacting tops ⋮ Trigonometric real form of the spin RS model of Krichever and Zabrodin ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland Hierarchy ⋮ Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models ⋮ Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model ⋮ Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerately integrable systems
- Poisson-Lie interpretation of trigonometric Ruijsenaars duality
- Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
- Calogero-Moser systems and representation theory
- Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion
- Ginzburg-Weinstein via Gelfand-Zeitlin
- Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction
- A generalisation of the Calogero-Moser system
- A new class of integrable systems and its relation to solitons
- Stratified symplectic spaces and reduction
- Three integrable Hamiltonian systems connected with isospectral deformations
- Generalized Liouville method of integration of Hamiltonian systems
- Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
- Symplectic structures associated to Lie-Poisson groups
- Calogero-Sutherland approach to defect blocks
- From spinning conformal blocks to matrix Calogero-Sutherland models
- Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems
- A class of integrable spin Calogero-Moser systems
- Spherical functions on affine Lie groups
- Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction
- On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
- Degenerate integrability of quantum spin Calogero-Moser systems
- Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models
- QKZ-Ruijsenaars correspondence revisited
- Quantum Lax pairs via Dunkl and Cherednik operators
- Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models
- Differential Geometry of Singular Spaces and Reduction of Symmetry
- The physics and mathematics of Calogero particles
- ON MOMENT MAPS ASSOCIATED TO A TWISTED HEISENBERG DOUBLE
- Twisted spin Sutherland models from quantum Hamiltonian reduction
- Symmetries and integrability
- Lie-Poisson Structure on Some Poisson Lie Groups
- Phase spaces related to standard classicalr-matrices
- Free motion on the PoissonSU(N)group
- Integrable discretizations of the spin Ruijsenaars–Schneider models
- Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins
- On the Hamiltonian structure of the spin Ruijsenaars-Schneider model
- Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Lie groups beyond an introduction
- Dressing transformations and Poisson group actions
