dorsal/arxiv
View SchemaDifference equations of quantum current operators and quantum parafermion construction
| Authors | Jintai Ding, Boris Feigin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610023 |
| URL | https://arxiv.org/abs/q-alg/9610023 |
Abstract
For 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 $U_q(\hat {\frak sl}(2))$.
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"date_created": "2026-03-02T18:01:28.476000Z",
"date_modified": "2026-03-02T18:01:28.476000Z",
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"abstract": "For the current realization of the affine quantum groups, a simple\ncomultiplication for the quantum current operators was given by Drinfeld. With\nthis comultiplication, we prove that, for the integrable modules of $U_q(\\hat\n{\\frak sl}(2))$ of level $k+1$, $x^\\pm(z)x^\\pm(zq^{\\pm 2}) \\cdot\\cdot\\cdot\nx^\\pm(zq^{\\pm 2k})$ are vertex operators satisfying certain q-difference\nequations, and we derive the quantum parafermions of $U_q(\\hat {\\frak sl}(2))$.",
"arxiv_id": "q-alg/9610023",
"authors": [
"Jintai Ding",
"Boris Feigin"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Difference equations of quantum current operators and quantum parafermion construction",
"url": "https://arxiv.org/abs/q-alg/9610023"
},
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