Ricci flat black holes in higher dimensional SU(2) Einstein–Yang–Mills theory with negative cosmological constant

We present arguments for the existence of new higher dimensional black holes with a Ricci flat horizon in Einstein–Yang–Mills theory with negative cosmological constant. The SU ( 2 ) non-Abelian gauge fields are purely magnetic and live on a three-dimensional subspace. A discussion of the main properties of the black holes and the differences with respect to the four-dimensional case is presented. We find that the mass of these solutions always diverges. A regularized action and mass of the d = 5 , 6 non-Abelian configurations is found by using a suitable boundary counterterm prescription.