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arXiv:hep-th/9310089 · International Journal of Modern Physics A

LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS

Makoto Idzumi

Published Oct 10, 1994• 34 citations
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Abstract

Vertex operators associated with level 2 [Formula: see text] modules are explicitly constructed 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 et al. for the case S = 1/2.

DOI
10.1142/s0217751x94001771

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EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF Uq(sl2^)U_q (\widehat{{\rm sl}_2})Uq​(sl2​​)
Staggered Polarization of Vertex Models with Uq(widehatsl(n))U_q(\\widehat{sl}(n))Uq​(widehatsl(n))-Symmetry
In this paper we give an explicit formula for level 1 vertex operators related to Uq(widehatsl(n))U_q(\\widehat{sl}(n))Uq​(widehatsl(n)) as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of Uq(widehatsl(n))U_q(\\widehat{sl}(n))Uq​(widehatsl(n)), thereby extending the recent work on the staggered polarization of the XXZXXZXXZ-model.
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