Degenerate integrability of quantum spin Calogero--Moser systems

Abstract

The main result of this note is the proof of degenerate quantum integrability of quantum spin Calogero--Moser systems and the description of the spectrum of quantum Hamiltonians in terms of the decomposition of tensor products of irreducible representations of corresponding Lie algebra.

15 pages

References in corpus (1)

• Twisted spin Sutherland models from quantum Hamiltonian reduction

Cited by in corpus (12)

• Harmony of Spinning Conformal Blocks
• From Spinning Conformal Blocks to Matrix Calogero-Sutherland Models
• Integrability of Conformal Blocks I: Calogero-Sutherland Scattering Theory
• Poisson-Lie analogues of spin Sutherland models
• Superconformal Blocks: General Theory
• Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials
• Universal Spinning Casimir Equations and Their Solutions
• Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone
• New superintegrable models on spaces of constant curvature
• From fermionic spin-Calogero-Sutherland models to the Haldane-Shastry chain by freezing
• Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
• Bethe ansatz inside Calogero-Sutherland models