Spinons and parafermions in fermion cosets

Details Spinons and parafermions in fermion cosets Spinons and parafermions in fermion cosets

1997-04-02

arxiv.org/abs/hep-th/9704015v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex file. Invited talk at International Seminar dedicated to the memory of D.V.Volkov, Kharkov, January 5-7, 1997

Scientific paper

10.1007/BFb0105250

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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