Spinons and parafermions in fermion cosets

Abstract

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.

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

References in corpus (5)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Spinon Bases, Yangian Symmetry and Fermionic Representations of Virasoro Characters in Conformal Field Theory
• Spinons in Conformal Field Theory
• Duality in deformed coset fermionic models
• Fermionic Coset Realization of Primaries in Critical Statistical Models