More on microstate geometries of 4d black holes

Understand

We construct explicit examples of microstate geometries of four-dimensional black holes that lift to smooth horizon-free geometries in five dimensions.

• Solutions consist of half-BPS D-brane atoms distributed in $\mathbb{R}^3$.
• Charges and positions of the D-brane centers are constrained by the bubble equations and boundary conditions ensuring the regularity of the metric and the match with the black hole geometry.
• In the case of three centers, we find that the moduli spaces of solutions includes disjoint one-dimensional components of (generically) finite volume.