Yangian Symmetries in the SU(N)₁ WZW Model and the Calogero-Sutherland Model

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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 Qᵃ₁. We also evaluate some energy spectra of H₂, by acting it on multi-spinon states.