Fractional spin through quatum (super)Virasoro algebras

Abstract

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

Cited by in corpus (3)

• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
• Fractional spin through quantum strange superalgebra ${\tilde{P}}_Q(n)$