English

Spinons as Composite Fermions

High Energy Physics - Theory 2009-10-30 v2 Condensed Matter

Abstract

We show that gauge invariant composites in the fermionic realization of SU(N)1SU(N)_1 conformal field theory explicitly exhibit the holomorphic factorization of the corresponding WZW primaries. In the SU(2)1SU(2)_1 case we show that the holomorphic sector realizes the spinon Y(sl2)Y(sl_2) algebra, thus allowing the classification of the chiral Fock space in terms of semionic quasi-particle excitations created by the composite fermions.

Keywords

Cite

@article{arxiv.hep-th/9602041,
  title  = {Spinons as Composite Fermions},
  author = {Daniel C. Cabra and Gerardo L. Rossini},
  journal= {arXiv preprint arXiv:hep-th/9602041},
  year   = {2009}
}

Comments

SU(N)_1 case included. Final version to appear in Mod. Phys. Lett. A. Latex, 13 pages