dorsal/arxiv
View SchemaDeformations of W-algebras associated to simple Lie algebras
| Authors | Edward Frenkel, Nicolai Reshetikhin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708006 |
| URL | https://arxiv.org/abs/q-alg/9708006 |
Abstract
Deformed $\W$--algebra $\W_{q,t}(\g)$ associated to an arbitrary simple Lie algebra $\g$ is defined together with its free field realizations and the screening operators. Explicit formulas are given for generators of $\W_{q,t}(\g)$ when $\g$ is of classical type. These formulas exhibit a deep connection between $\W_{q,t}(\g)$ and the analytic Bethe Ansatz in integrable models associated to quantum affine algebras $U_q(\G)$ and $U_t(\GL)$. The scaling limit of $\W_{q,t}(\g)$ is closely related to affine Toda field theories.
{
"annotation_id": "369857a4-7576-41c7-8118-ee661a1c8eb5",
"date_created": "2026-03-02T18:01:27.747000Z",
"date_modified": "2026-03-02T18:01:27.747000Z",
"file_hash": "2ba415867cdc8822df96e7fa0054b24ae02ce4dc8f9a6e41b5a62804987341c6",
"private": false,
"record": {
"abstract": "Deformed $\\W$--algebra $\\W_{q,t}(\\g)$ associated to an arbitrary simple Lie\nalgebra $\\g$ is defined together with its free field realizations and the\nscreening operators. Explicit formulas are given for generators of\n$\\W_{q,t}(\\g)$ when $\\g$ is of classical type. These formulas exhibit a deep\nconnection between $\\W_{q,t}(\\g)$ and the analytic Bethe Ansatz in integrable\nmodels associated to quantum affine algebras $U_q(\\G)$ and $U_t(\\GL)$. The\nscaling limit of $\\W_{q,t}(\\g)$ is closely related to affine Toda field\ntheories.",
"arxiv_id": "q-alg/9708006",
"authors": [
"Edward Frenkel",
"Nicolai Reshetikhin"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Deformations of W-algebras associated to simple Lie algebras",
"url": "https://arxiv.org/abs/q-alg/9708006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6a748b0b-e7ef-480b-b15c-d110f86f2c6f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}