Calogero-Moser models with noncommutative spin interactions

Abstract

We construct integrable generalizations of the elliptic Calogero-Sutherland-Moser model of particles with spin, involving noncommutative spin interactions. The spin coupling potential is a modular function and, generically, breaks the global spin symmetry of the model down to a product of U(1) phase symmetries. Previously known models are recovered as special cases.

Version to appear in Phys. Rev. Lett

References in corpus (3)

• Physical Instances of Noncommuting Coordinates
• A_N-type Dunkl operators and new spin Calogero-Sutherland models
• New spin Calogero-Sutherland models related to B_N-type Dunkl operators

Cited by in corpus (12)

• Supersymmetric Calogero models by gauging
• Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
• Generalized model of interacting integrable tops
• Gauged spinning models with deformed supersymmetry
• On R-matrix valued Lax pairs for Calogero-Moser models
• A Unified Algebraic Approach to Few and Many-Body Correlated Systems
• Elliptic generalization of integrable q-deformed anisotropic Haldane-Shastry long-range spin chain
• Relativistic interacting integrable elliptic tops
• Integrable System of Generalized Relativistic Interacting Tops
• Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
• Sutherland Models for Complex Reflection Groups
• Multi-pole extension for elliptic models of interacting integrable tops