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Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories

P. Bouwknegt, K. Schoutens

hep-tharXiv:hep-th/9810113

Abstract

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 c<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.

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