dorsal/arxiv
View SchemaVertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions
| Authors | H. Awata, H. Kubo, Y. Morita, S. Odake, J. Shiraishi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9604023 |
| URL | https://arxiv.org/abs/q-alg/9604023 |
| Journal | Lett.Math.Phys. 41 (1997) 65-78 |
Abstract
Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator $\Theta_{\xi} f(x)=f(\xi x)$. Four point functions of the primary fields enjoy the connection formula associated with the Boltzmann weights of the fusion Andrews-Baxter-Forrester model.
{
"annotation_id": "cc273124-fd76-4a96-909d-4d19fc18f77d",
"date_created": "2026-03-02T18:01:28.581000Z",
"date_modified": "2026-03-02T18:01:28.581000Z",
"file_hash": "2d989b6e01423d617f2ab2988009a133ac702f80e2eef93fdacf49d96d96a9a8",
"private": false,
"record": {
"abstract": "Primary fields of the $q$-deformed Virasoro algebra are constructed.\nCommutation relations among the primary fields are studied. Adjoint actions of\nthe deformed Virasoro current on the primary fields are represented by the\nshift operator $\\Theta_{\\xi} f(x)=f(\\xi x)$. Four point functions of the\nprimary fields enjoy the connection formula associated with the Boltzmann\nweights of the fusion Andrews-Baxter-Forrester model.",
"arxiv_id": "q-alg/9604023",
"authors": [
"H. Awata",
"H. Kubo",
"Y. Morita",
"S. Odake",
"J. Shiraishi"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"journal_ref": "Lett.Math.Phys. 41 (1997) 65-78",
"title": "Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions",
"url": "https://arxiv.org/abs/q-alg/9604023"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "492b3500-775b-4ee0-9d1e-3e64dfe721ca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}