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On the bosonization of \(L\)-operators for the quantum affine algebra \(U_ q ({\mathfrak {sl}}_ 2)\) - MaRDI portal

On the bosonization of \(L\)-operators for the quantum affine algebra \(U_ q ({\mathfrak {sl}}_ 2)\) (Q1920654)

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On the bosonization of \(L\)-operators for the quantum affine algebra \(U_ q ({\mathfrak {sl}}_ 2)\)
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    On the bosonization of \(L\)-operators for the quantum affine algebra \(U_ q ({\mathfrak {sl}}_ 2)\) (English)
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    12 August 1996
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    The author reviews some relations between different objects associated with quantum affine algebras. The main observation of this note is that a new realization of the quantum affine algebra \(U_q(\widehat {\text{sl}}_2)\) at level one follows from the free field realization of Zamolodchikov-Faddeev algebras associated with an \(R\)-matrix which satisfies the conditions of unitarity and crossing-symmetry.
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    bosonization of \(L\)-operators
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    quantum affine algebras
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    Zamolodchikov-Faddeev algebras
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    \(R\)-matrix
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