Fractional spin through quatum (super)Virasoro algebras

preprint2004arXivOpen access

Abstract

The splitting of a QQ-deformed boson, in the $Q\to q=e^{\frac{\QTR{rm}{2πi}}{\QTR{rm}{k}}}$ 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.

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