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

Abstract

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 $S=1/2$.

arXiv comment42 pages

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