Lie Symmetries of the Self-Dual Yang-Mills Equations
Mathematical Physics
2015-05-26 v1 math.MP
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.
Keywords
Cite
@article{arxiv.physics/9701019,
title = {Lie Symmetries of the Self-Dual Yang-Mills Equations},
author = {Marc Voyer and Louis Marchildon},
journal= {arXiv preprint arXiv:physics/9701019},
year = {2015}
}
Comments
5 pages, LaTeX, no figures; contribution to Group21 in Goslar