Using symbolic computations, the unique metric in the space of fields, required to describe self-dual SU(3) Yang-Mills equations by a harmonic map, is determined. Moreover the complete Lie algebra of Killing fields for this metric is established.
Kersten, P. H. M., & Martini, R. (1984). The harmonic map and Killing fields for self-dual SU(3) Yang-Mills equations. Journal of physics A: mathematical and general, 17(5), L227-L230. https://doi.org/10.1088/0305-4470/17/5/001