English

Fractional spin through quatum (super)Virasoro algebras

High Energy Physics - Theory 2014-10-07 v1

Abstract

The splitting of a QQ-deformed boson, in the Qq=e\QTRrm2πi\QTRrmkQ\to q=e^{\frac{\QTR{rm}{2\pi i}}{\QTR{rm}{k}}} limit, is discussed. The equivalence between a QQ-fermion and an ordinary one is established. The properties of the quantum (super)Virasoro algebras when their deformation parameter QQ goes to a root of unity, are investigated. These properties are shown to be related to fractional supersymmetry and kk-fermionic spin.

Keywords

Cite

@article{arxiv.hep-th/0401111,
  title  = {Fractional spin through quatum (super)Virasoro algebras},
  author = {M. Mansour and E. H. Zakkari},
  journal= {arXiv preprint arXiv:hep-th/0401111},
  year   = {2014}
}