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Motivated by some recent progress involving a non-compact gauge group, weobtain classical gauge fields using non-compact foliations of anti-de Sitterspace in 4 dimensions (required dimensionality for conformal invariance ofYang-Mills theory) and transfer these to Minkowski spacetime using a series ofconformal maps. This construction also builds upon some previous worksinvolving SU(2) gauge group in that we now use its non-compact counterpartSU(1, 1) here. We note down gauge fields in both Abelian as well as non-Abeliansettings and find them to be divergent at some hyperboloid, which is ahypersurface of co-dimension 1 inside the conformal boundary of AdS4. In spiteof this hurdle we find a physically relevant field configuration in the Abeliancase, reproducing a known result.

On Yang-Mills fields from anti-de Sitter spaces