dorsal/arxiv
View SchemaVertex--IRF correspondence and factorized L-operators for an elliptic R-operator
| Authors | Youichi Shibukawa |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9412015 |
| URL | https://arxiv.org/abs/q-alg/9412015 |
| DOI | 10.1007/BF02101811 |
Abstract
As for an elliptic $R$-operator which satisfies the Yang--Baxter equation, the incoming and outgoing intertwining vectors are constructed, and the vertex--IRF correspondence for the elliptic $R$-operator is obtained. The vertex--IRF correspondence implies that the Boltzmann weights of the IRF model satisfy the star--triangle relation. By means of these intertwining vectors, the factorized L-operators for the elliptic $R$-operator are also constructed. The vertex--IRF correspondence and the factorized L-operators for Belavin's $R$-matrix are reproduced from those of the elliptic $R$-operator.
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"date_created": "2026-03-02T18:01:25.356000Z",
"date_modified": "2026-03-02T18:01:25.356000Z",
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"abstract": "As for an elliptic $R$-operator which satisfies the Yang--Baxter equation,\nthe incoming and outgoing intertwining vectors are constructed, and the\nvertex--IRF correspondence for the elliptic $R$-operator is obtained. The\nvertex--IRF correspondence implies that the Boltzmann weights of the IRF model\nsatisfy the star--triangle relation. By means of these intertwining vectors,\nthe factorized L-operators for the elliptic $R$-operator are also constructed.\nThe vertex--IRF correspondence and the factorized L-operators for Belavin\u0027s\n$R$-matrix are reproduced from those of the elliptic $R$-operator.",
"arxiv_id": "q-alg/9412015",
"authors": [
"Youichi Shibukawa"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF02101811",
"title": "Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator",
"url": "https://arxiv.org/abs/q-alg/9412015"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b5465b85-295a-4c7b-b455-ceec289f75d3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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