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 n of su( n) and carry fractional statistics of angle θ = π n . Multi-spinon states are grouped into irreducible representations of the yangian Y( sl 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.

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