On the Bosonization of $L$-Operators for Quantum Affine Algebra $U_q(s{l}_2)$

Abstract

Some relations between different objects associated with quantum affine algebras are reviewed. It is shown that the Frenkel-Jing bosonization of a new realization of quantum affine algebra $\Uqa$ as well as bosonization of $L$-operators for this algebra can be obtained from Zamolodchikov-Faddeev algebras defined by the quantum $R$-matrix satisfying unitarity and crossing-symmetry conditions. (Talk given at the International Coference "Modern Problems of Quantum Field Theory, Quantum Gravity and Strings", Alushta, June 10--20, 1994.)

15 p., LaTeX, Preprint DFTUZ/94/15

References in corpus (8)

• Correlation Functions of the XXZ model for $\Delta <-1$
• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Quantum affine symmetry in vertex models
• An elliptic quantum algebra for ${\widehat{sl}}_2$
• Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry
• Notes on highest weight modules of the elliptic algebra ${\mathcal{A}}_{q,p}\left({\widehat{sl}}_2\right)$
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Cited by in corpus (1)

• Central extension of the reflection equations and an analog of Miki's formula