Difference equations of quantum current operators and quantum parafermion construction

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dc.creatorDing, Jintai
dc.creatorFeigin, Boris
dc.date1996-10-18
dc.date.accessioned2026-07-07T09:17:17Z
dc.date.available2026-07-07T09:17:17Z
dc.descriptionFor the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we prove that, for the integrable modules of $U_q(\hat {\frak sl}(2))$ of level $k+1$, $x^\pm(z)x^\pm(zq^{\pm 2}) \cdot\cdot\cdot x^\pm(zq^{\pm 2k})$ are vertex operators satisfying certain q-difference equations, and we derive the quantum parafermions of $U_q(\hat {\frak sl}(2))$.
dc.description15 pages Amslatex
dc.identifierhttps://arxiv.org/abs/q-alg/9610023
dc.identifierhttp://arxiv.org/abs/q-alg/9610023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153616
dc.subjectQuantum Algebra
dc.titleDifference equations of quantum current operators and quantum parafermion construction
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