Drinfeld comultiplication and vertex operators

Abstract

For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of $U_q(\hgtsl_n)$ and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of $U_q(\hgtsl_n)$ and discuss its connection with quantum boson-fermion correspondence.

Amslatex 13 pages

References in corpus (1)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators

Cited by in corpus (6)

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• Toroidal and level 0 U'_q(\hat{sl_{n+1}}) actions on U_q(\hat{gl_{n+1}}) modules
• Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$
• Higher level vertex operators for $U_q({\widehat{\mathfrak{sl}}}_2)$
• $RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p,q}(\widehat{\mathfrak{gl}(m|n))}$
• Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_q({\widehat{\mathfrak{sl}}}_2)$