Classification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group

Simple item page
dc.creatorPohjanpelto, Juha
dc.date2001-09-21
dc.date.accessioned2026-07-07T06:21:55Z
dc.date.available2026-07-07T06:21:55Z
dc.descriptionA complete classification of generalized symmetries of the Yang-Mills equations on Minkowski space with a semi-simple structure group is carried out. It is shown that any generalized symmetry, up to a generalized gauge symmetry, agrees with a first order symmetry on solutions of the Yang-Mills equations. Let $g=g_1+...+g_n$ be the decomposition of the Lie algebra $g$ of the structure group into simple ideals. First order symmetries for $g$-valued Yang-Mills fields are found to consist of gauge symmetries, conformal symmetries for $g_m$-valued Yang-Mills fields, $1\leq m\leq n$, and their images under a complex structure of $g_m$.
dc.description27 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0109021
dc.identifierhttp://arxiv.org/abs/math-ph/0109021
dc.identifierDiffer.Geom.Appl. 21 (2004) 147-171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95756
dc.subjectMathematical Physics
dc.subject81T13 (Primary) 58J70 (Secondary)
dc.titleClassification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group
dc.typetext

Files

Collections

arXiv