dorsal/arxiv
View SchemaGeometric interpretation of the Poisson structure in affine Toda field theories
| Authors | Benjamin Enriquez, Edward Frenkel |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606023 |
| URL | https://arxiv.org/abs/q-alg/9606023 |
Abstract
We express the Poisson brackets of local fields of the affine Toda field theories in terms of the Drinfeld-Sokolov dressing operator. For this, we introduce a larger space of fields, containing ``half screening charges'' and ``half integrals of motions''. In addition to local terms, the Poisson brackets contain nonlocal terms related to trigonometric r-matrices.
{
"annotation_id": "213a3d77-0d35-4bf0-b461-1d00453c4fb3",
"date_created": "2026-03-02T18:01:28.818000Z",
"date_modified": "2026-03-02T18:01:28.818000Z",
"file_hash": "91b8884841a89a3ac92ec5012f7cf96f7919eee76862b7da9cb27d69200d52bd",
"private": false,
"record": {
"abstract": "We express the Poisson brackets of local fields of the affine Toda field\ntheories in terms of the Drinfeld-Sokolov dressing operator. For this, we\nintroduce a larger space of fields, containing ``half screening charges\u0027\u0027 and\n``half integrals of motions\u0027\u0027. In addition to local terms, the Poisson brackets\ncontain nonlocal terms related to trigonometric r-matrices.",
"arxiv_id": "q-alg/9606023",
"authors": [
"Benjamin Enriquez",
"Edward Frenkel"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Geometric interpretation of the Poisson structure in affine Toda field theories",
"url": "https://arxiv.org/abs/q-alg/9606023"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "395da4de-eebb-45bb-82a3-e09059ec821a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}