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Fractional spin through quantum affine algebras with vanishing central charge

M. Mansour·E. H. Zakkari
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Abstract

In this paper, we study the fractional decomposition of the quantum enveloping affine algebras $U_Q(\hat A(n))$ and $U_Q(\hat{C}(n))$ with vanishing central charge in the limit $Q\to q=e^{\frac{2iπ}k}$ . This decomposition is based on the bosonic representation and can be related to the fractional supersymmetry and $k$-fermionic spin. The equivalence between the quantum affine algebras and the classical ones in the fermionic realization is also established.

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M. Mansour, E. H. Zakkari. 2003-12-19. Fractional spin through quantum affine algebras with vanishing central charge. https://doi.org/10.1023/b%3Aijtp.0000048613.18311.f3

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