The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure

Abstract

We present a `spinon formulation' of the $SU(n{)}_1$ Wess-Zumino-Witten models. Central to this approach are a set of massless quasi-particles, called `spinons', which transform in the representation $\bar{\mathbf{n}}$ of $su(n)$ and carry fractional statistics of angle $\theta =\pi /n$. Multi-spinon states are grouped into irreducible representations of the yangian $Y(s{l}_n)$. We give explicit results for the $su(n)$ content of these yangian representations and present $N$-spinon cuts of the WZW character formulas. As a by-product, we obtain closed expressions for characters of the $su(n)$ Haldane-Shastry spin chains.

38 pages, LaTeX, no figures

References in corpus (2)

• Skew Young diagram method in spectral decomposition of integrable lattice models
• Kostka Polynomials and Energy Functions in Solvable Lattice Models

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