Sutherland models for complex reflection groups

DOI10.1016/j.nuclphysb.2007.11.028zbMath1234.81088arXiv0708.2664OpenAlexW2030108551MaRDI QIDQ952329

Charles A. S. Young, Nicolas Crampé

Publication date: 12 November 2008

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2664

zbMATH Keywords

integrable systemsHecke algebracomplex reflection groupsDunkl operatorsSutherland model

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ Classical \(N\)-reflection equation and Gaudin models ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Hopf modules and representations of finite wreath products ⋮ Reflection groups in analysis and applications

Cites Work

• Unnamed Item
• Degenerate affine Hecke algebras and Yangians
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Towards spetses. I
• Generalized Calogero models through reductions by discrete symmetries
• Generalized Calogero-Sutherland systems from many-matrix models
• On the Sutherland spin model of \(B_N\) type and its associated spin chain
• Exact operator solution of the Calogero-Sutherland model
• IntegrableN-particle Hamiltonians with Yangian or reflection algebra symmetry
• Non-crystallographic reduction of generalized Calogero–Moser models
• The physics and mathematics of Calogero particles
• Differential-Difference Operators Associated to Reflection Groups
• Finite complex reflection groups
• Hamiltonian group actions and dynamical systems of calogero type
• Yang-Baxter equation in long-range interacting systems
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Exchange operator formalism for integrable systems of particles
• Exact Solution of Long-Range Interacting Spin Chains with Boundaries
• Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model
• Finite Unitary Reflection Groups
• Large \(N\) limit of Calogero-Moser models and conformal field theories