English

Spinons and parafermions in fermion cosets

High Energy Physics - Theory 2009-10-30 v1 Condensed Matter

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 ZkZ_k CFT's and that of spinon fields in SU(N)k,k=1SU(N)_k, k=1 Wess-Zumino-Witten models (WZW) theories. The higher level case (k>1k>1) will be briefly discussed. Possible applications to QHE systems and spin-ladder systems are addressed.

Keywords

Cite

@article{arxiv.hep-th/9704015,
  title  = {Spinons and parafermions in fermion cosets},
  author = {D. C. Cabra},
  journal= {arXiv preprint arXiv:hep-th/9704015},
  year   = {2009}
}

Comments

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

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