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

Wen-Li Yang; Yao-Zhong Zhang (University of Queensland)

arxiv: math/9904017 · v4 · submitted 1999-04-04 · 🧮 math.QA

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

Wen-Li Yang , Yao-Zhong Zhang (University of Queensland) This is my paper

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keywords affinebasisbosondrinfeldfreenonclassicalquantumrepresentation

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

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