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

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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Bibliographic Details
Published inarXiv.org
Main Authors Jimbo, M, Kedem, R, Konno, H, Miwa, T, Petersen, J -U H
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 26.09.1995
Subjects
Field theory
Modules
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Summary: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.
ISSN:2331-8422