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

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, Z_k 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.

LaTeX, 49 pages, some further clarifications added, refs added and updated. Nucl. Phys. B, to be published

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• Exclusion Statistics in Conformal Field Theory Spectra
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• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
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