It is shown that both the field equations and the self-duality equations of SU(2) invariant Yang-Mills theories do not allow any other Lie symmetries than those they have by construction, i.e., the 15 generators of the conformal group and the 3 generators of the gauge group. This is true in Euclidean as well in Minkowskian space-time.
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Schwarz, F. Symmetries of SU(2) invariant Yang-Mills theories. Letters in Mathematical Physics 6, 355–359 (1982). https://doi.org/10.1007/BF00419315
- Statistical Physic
- Gauge Group
- Group Theory
- Field Equation
- Conformal Group