Spinons in conformal field theory

1994/04/08 by D. Bernard, V. Pasquier, D. Serban · 7 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Connection (principal bundle) #Field (mathematics) #Homotopy and Cohomology in Algebraic Topology #Primary field #Spinon #Yangian #hep-th

paper · pdf · doi:10.1016/0550-3213(94)90366-2

published as Nucl.Phys.B428:612-628,1994 · 18 pages

arxiv created 1994/04/08 · openalex publication_date 1994/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the su(2) conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the Calogero-Sutherland model with su(2) spin. We use this connection to describe how the spinons are the quasi-particles spanning the irreducible Yangian multiplet, and also to exhibit operators creating the N-spinon highest weight vectors.

Citations

• Exchange operator formalism for integrable systems of particles
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Crystalizing theq-analogue of universal enveloping algebras
• Unitary representations of some infinite dimensional groups

Cited by

• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Spinons in magnetic chains of arbitrary spins at finite temperatures
• Physical combinatorics and quasiparticles
• Thermodynamics and criticality of supersymmetric spin chains with long-range interactions
• EntropicCtheorems in free and interacting two-dimensional field theories
• Path representation of suˆ(2)k states I: Operators and particles for k=1,2
• Mass generation in perturbed massless integrable models
• The extended algebra of the SU(2) Wess–Zumino–Witten models