New Level-0 Action of $U_q(\widehat{sl}_2)$ on Level-1 Modules

Physics – High Energy Physics – High Energy Physics - Theory

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24 pages, LaTeX 2.09 or LaTeX2e (and preferably amsfonts). Contribution to the Proceedings of the meeting `Statistical Mechani

Scientific paper

A level-0 action of $U_q(\widehat{sl}_2)$ is defined on the sum of level-1
irreducible highest weight modules. With the aid of the affine Hecke algebras,
this action is realized on the basis created by the vertex operators. This is a
$q$-analogue of the Yangian symmetry in conformal field theory.

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