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

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

2001-09-21

arxiv.org/abs/math-ph/0109021v1

Differ.Geom.Appl. 21 (2004) 147-171

Physics

Mathematical Physics

27 pages, AMSLaTeX

Scientific paper

A 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 $g_m$.

Affiliated with

Also associated with

No associations

Rating

Classification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658087