Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_q[osp(2|2)^{(2)}]$}

Mathematics – Quantum Algebra

Scientific paper

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Change of title, and one added section on a nonclassical free boson realization; LaTex file 10 pages

Scientific paper

10.1016/S0375-9601(99)00644-1

We derive from the super RS algebra the Drinfeld basis of the twisted quantum
affine superalgebra $U_q[osp(2|2)^{(2)}]$ by means of the Gauss decomposition
technique. We explicitly construct a nonclassical level-one representation of
$U_q[osp(2|2)^{(2)}]$ in terms of two $q$-deformed free boson fields.

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