Spinon basis for higher level SU(2) WZW models

Abstract

We propose a spinon basis for the integrable highest weight modules of $\hsltw$ at levels $k\ge 1$, and discuss the underlying Yangian symmetry. Evaluating the characters in this spinon basis provides new quasi-particle type expressions for the characters of these integrable modules, and explicitly exhibits the structure of an RSOS times a Yangian part, known \eg from $S$-matrix results. We briefly discuss generalizations to other groups and more general conformal field theories.

10 pages, plain TeX (with AMS-fonts option). Introduction expanded, evidence for proposed spinon basis further clarified and some references added

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• The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure
• Fermionic solution of the Andrews-Baxter-Forrester model II: proof of Melzer's polynomial identities
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• Crystalizing the Spinon Basis
• Graded parafermions: standard and quasi-particle bases
• A quasi-particle description of the M(3,p) models
• Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal Field Theories
• Non-abelian Exclusion Statistics
• Parafermionic quasi-particle basis and fermionic-type characters
• Spinon statistics in integrable spin-S Heisenberg chains
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• The Extended Algebra of the SU(2) Wess-Zumino-Witten Models
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Conjugate Bailey pairs
• Critical RSOS and Minimal Models II: Building Representations of the Virasoro Algebra and Fields
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Spectral Decomposition of Path Space in Solvable Lattice Model
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Modular Invariants in the Fractional Quantum Hall Effect
• Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
• What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT
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• Central Charge and the Andrews-Bailey Construction
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• Conserved charges of non-yangian type for the Frahm-Polychronakos spin chain
• On Hecke-type double-sums and general string functions for the affine Lie algebra $A_1^{(1)}$
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• Spinon bases in supersymmetric CFTs
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• Quasiparticle operators with non-Abelian braiding statistics
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