Exclusion statistics in conformal field theory — Generalized fermions and spinons for level-1 WZW theories Original Research Article

We systematically study the exclusion statistics for quasi-particles for Conformal Field Theory spectra by employing a method based on recursion relations for truncated spectra. Our examples include generalized fermions in cCFT < 1 unitary minimal models, Zk parafermions, and spinons for the su(n)1, so(n)1 and sp(2n)1 Wess-Zumino-Witten models. For some of the latter examples we present explicit expressions for finitized affine characters and for the N-spinon decomposition of affine characters.