Fractional Spin through Quantum Affine Algebra Â(n) and quantum affine superalgebra Â(n,m)
نویسندگان
چکیده
Using the splitting of a Q-deformed boson, in the Q → q = e 2πi k limit, the fractional decomposition of the quantum affine algebra Â(n) and the quantum affine superalgebra Â(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 Â(n) and the classical one in the fermionic realization. ∗email: [email protected] 1
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