dorsal/arxiv
View SchemaSolutions of the elliptic qKZB equations and Bethe ansatz I
| Authors | Giovanni Felder, Alexander Varchenko, Vitaly Tarasov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606005 |
| URL | https://arxiv.org/abs/q-alg/9606005 |
Abstract
We give an integral representation for solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations, in the case of sl(2). The result is based on a geometric construction of highest weight representations of the elliptic quantum group associated to sl(2). We also obtain Bethe ansatz eigenfunctions for the corresponding integrable systems of difference operators, and prove their completeness in some cases.
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"date_created": "2026-03-02T18:01:27.608000Z",
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"abstract": "We give an integral representation for solutions of the elliptic quantum\nKnizhnik-Zamolodchikov-Bernard difference equations, in the case of sl(2). The\nresult is based on a geometric construction of highest weight representations\nof the elliptic quantum group associated to sl(2). We also obtain Bethe ansatz\neigenfunctions for the corresponding integrable systems of difference\noperators, and prove their completeness in some cases.",
"arxiv_id": "q-alg/9606005",
"authors": [
"Giovanni Felder",
"Alexander Varchenko",
"Vitaly Tarasov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Solutions of the elliptic qKZB equations and Bethe ansatz I",
"url": "https://arxiv.org/abs/q-alg/9606005"
},
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