Fractional Spin through Quantum Affine Algebra $\hat A(n)$ and quantum affine superalgebra $\hat A(n,m)$

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dc.creatorMansour, M.
dc.creatorDaoud, M.
dc.date2000-10-29
dc.date.accessioned2026-07-07T04:10:49Z
dc.date.available2026-07-07T04:10:49Z
dc.descriptionUsing the splitting of a $Q$-deformed boson, in the $Q \to q= e^{\frac{\rm 2πi}{\rm k}}$ limit, the fractional decomposition of the quantum affine algebra $\hat A(n)$ and the quantum affine superalgebra $\hat A(n,m)$ are found. This decomposition is based on the oscillator representation and can be related to the fractional supersymmetry and k-fermionic spin. We establish also the equivalence between the quantum affine algebra $\hat A(n)$ and the classical one in the fermionic realization.
dc.description(17 pages, latex, non figures)
dc.identifierhttps://arxiv.org/abs/hep-th/0010267
dc.identifierhttp://arxiv.org/abs/hep-th/0010267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50350
dc.subjectHigh Energy Physics - Theory
dc.titleFractional Spin through Quantum Affine Algebra $\hat A(n)$ and quantum affine superalgebra $\hat A(n,m)$
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