Non-Abelian solutions in AdS4 and d=11 supergravity

We consider solutions of the four-dimensional Einstein-Yang-Mills (EYM) system with a negative cosmological constant Lambda=-3g(2), where g is the non-Abelian gauge coupling constant. This theory corresponds to a consistent truncation of N=4 gauged supergravity and may be uplifted to d=11 supergravity. A systematic study of all known solutions is presented as well as new configurations corresponding to rotating regular dyons and rotating non-Abelian black holes. The thermodynamics of the static black hole solutions is also discussed. The generic EYM solutions present a nonvanishing magnetic flux at infinity and should give us information about the structure of a conformal field theory (CFT) in a background SU(2) field. We argue that the existence of these configurations violating the no-hair conjecture is puzzling from the anti-de Sitter (AdS)/CFT point of view.