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arxiv: hep-th/9704015 · v1 · submitted 1997-04-02 · ✦ hep-th · cond-mat

Spinons and parafermions in fermion cosets

classification ✦ hep-th cond-mat
keywords fieldsmodelsfermionsystemstheoriesaddressedapplicationsbriefly
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We introduce a set of gauge invariant fermion fields in fermionic coset models and show that they play a very central role in the description of several Conformal Field Theories (CFT's). In particular we discuss the explicit realization of primaries and their OPE in unitary minimal models, parafermion fields in $Z_k$ CFT's and that of spinon fields in $SU(N)_k, k=1$ Wess-Zumino-Witten models (WZW) theories. The higher level case ($k>1$) will be briefly discussed. Possible applications to QHE systems and spin-ladder systems are addressed.

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