The SU(n)1 WZW models Spinon decomposition and yangian structure Original Research Article

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 = πn. Multi-spinon states are grouped into irreducible representations of the yangian Y(sln). 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.