Dyonic black holes at arbitrary locations

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We construct and study stationary, asymptotically flat multicenter solutions describing regular black holes with non-Abelian hair (colored magnetic-monopole and dyon fields) in two models of $\mathcal{N}=2,d=4$ Super-Einstein-Yang-Mills theories: the quadratic model $\overline{\mathbb{CP}}^{3}$ and the cubic model ST$[2,6]$, which can be embedded in 10-dimensional Heterotic Supergravity.

• These solutions are based on the multicenter dyon recently discovered by one of us, which solves the SU$(2)$ Bogomol'nyi and dyon equations on $\mathbb{E}^{3}$.
• In contrast to the well-known Abelian multicenter solutions, the relative positions of the non-Abelian black hole centers are unconstrained.
• We study necessary conditions on the parameters of the solutions that ensure the regularity of the metric.