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Twisted Parafermions

High Energy Physics - Theory 2009-11-07 v3 Condensed Matter Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted ZZ-algebra are found. The system consists of one spin-1 bosonic field and six nonlocal fields of fractional spins. Jacobi-type identities for the twisted parafermions are derived, and a new conformal field theory is constructed from these currents. As an application, a parafermionic representation of the twisted affine current algebra A2(2)A^{(2)}_2 is given.

Keywords

Cite

@article{arxiv.hep-th/0110165,
  title  = {Twisted Parafermions},
  author = {Xiang-Mao Ding and Mark. D. Gould and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/0110165},
  year   = {2009}
}

Comments

RevTex 5 pages; Cosmetic changes, to appear in Phys.Lett.B