Fractional spin through quantum affine algebras with vanishing central charge

Details Fractional spin through quantum affine algebras with vanishing central charge Fractional spin through quantum affine algebras with vanishing central charge

2003-03-25

arxiv.org/abs/hep-th/0303215v2

Int.J.Theor.Phys. 43 (2004) 1249-1260

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1023/B:IJTP.0000048613.18311.

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 $Q\to q=e^{\frac{2i\pi}k}$ . 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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