Level two irreducible representations of $U_q(\widehat{sl}_2)$, vertex operators, and their correlations

Details Level two irreducible representations of $U_q(\widehat{sl}_2)$, vertex operators, and their correlations Level two irreducible representations of $U_q(\widehat{sl}_2)$, vertex operators, and their correlations

1993-10-15

arxiv.org/abs/hep-th/9310089v1

Int.J.Mod.Phys. A9 (1994) 4449-4484

Physics

High Energy Physics

High Energy Physics - Theory

42 pages

Scientific paper

10.1142/S0217751X94001771

Vertex operators associated with level two $U_q(\widehat{sl}_2)$ modules are constructed explicitly using bosons and fermions. An integral formula is derived for the trace of products of vertex operators. These results are applied to give $n$-point spin correlation functions of an integrable $S=1$ quantum spin chain, extending an earlier work of Jimbo {\em et al} for the case $S=1/2$.

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