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