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 {\bf \bar{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(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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