Yangian symmetries in the SU(N)1 WZW model and the Calogero-Sutherland model

We study the SU(N), level 1 Wess-Zumino-Witten model, with affine primary fields as spinon fields of fundamental representation. By evaluating the action of the Yangian generators Q0a, Q1a and the Hamiltonian H2 on two spinon states we get a new connection between this conformal field theory and the Calogero-Sutherland model with SU(N) spin. This connection clearly confirms the need for the W3 generator in H2 and an additional term in the Q1a. We also evaluate some energy spectra of H2, by acting it on multi-spinon states.