Classification of Generalized Symmetries of the Yang-mills Fields with a Semi-simple Structure Group
نویسنده
چکیده
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 = g1+ · · ·+gn be the decomposition of the Lie algebra g of the structure group into simple ideals. First order symmetries for g-valued YangMills fields are found to consist of gauge symmetries, conformal symmetries for gm-valued Yang-Mills fields, 1 ≤ m ≤ n, and their images under a complex structure of gm.
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