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q-Vertex operators for quantum affine algebras

Naihuan Jing·Kailash C. Misra
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Abstract

$q$-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum Knizhnik-Zamolodchikov equation. Explicit constructions of these vertex operators for most level one modules are known for classical types except for type $C_n^{(1)}$, where the level -1/2 have been constructed. In this paper we survey these results for the quantum affine algebras of types $A_n^{(1)}, B_n^{(1)}, C_n^{(1)}$ and $D_n^{(1)}$.

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Naihuan Jing, Kailash C. Misra. 1999-01-06. q-Vertex operators for quantum affine algebras. https://arxiv.org/abs/math/9901026

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