dorsal/arxiv
View SchemaLie Symmetries of the Self-Dual Yang-Mills Equations
| Authors | Marc Voyer, Louis Marchildon |
|---|---|
| Categories | |
| ArXiv ID | physics/9701019 |
| URL | https://arxiv.org/abs/physics/9701019 |
| Journal | Proc. of the XXIst ICGTMP (World Scientific, 1997), pp. 1017-1021 |
Abstract
We investigate Lie symmetries of the self-dual Yang-Mills equations in four-dimensional Euclidean space (SDYM). The first prolongation of the symmetry generating vector fields is written down, and its action on SDYM computed. Determining equations are then obtained and solved completely. Lie symmetries of SDYM in Euclidean space are in exact correspondence with symmetries of the full Yang-Mills equations in Minkowski space.
{
"annotation_id": "59549c5f-c04d-4926-ac04-892926d0f780",
"date_created": "2026-03-02T18:01:17.833000Z",
"date_modified": "2026-03-02T18:01:17.833000Z",
"file_hash": "32c87fc3da1881777b8dfd44078a59c0492ed6b3ef0f1ff33ffa68a7b23b936f",
"private": false,
"record": {
"abstract": "We investigate Lie symmetries of the self-dual Yang-Mills equations in\nfour-dimensional Euclidean space (SDYM). The first prolongation of the symmetry\ngenerating vector fields is written down, and its action on SDYM computed.\nDetermining equations are then obtained and solved completely. Lie symmetries\nof SDYM in Euclidean space are in exact correspondence with symmetries of the\nfull Yang-Mills equations in Minkowski space.",
"arxiv_id": "physics/9701019",
"authors": [
"Marc Voyer",
"Louis Marchildon"
],
"categories": [
"math-ph",
"math.MP"
],
"journal_ref": "Proc. of the XXIst ICGTMP (World Scientific, 1997), pp. 1017-1021",
"title": "Lie Symmetries of the Self-Dual Yang-Mills Equations",
"url": "https://arxiv.org/abs/physics/9701019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ddf936bb-6262-4f0e-a667-69e7b12ae06a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}