Abstract
We study the effective potentials for various probe branes surrounding AdS4 black holes with massive halos in consistent truncations of M-theory on the Sasaki-Einstein7 manifolds Q111 and M111. These probes are either M2 branes extended in spacetime or “particle-like” probes such as internally wrapped M2 branes and, upon reduction to type IIA String theory, D6 branes corresponding to baryon operators in the dual Chern-Simons theory. We find both global and local minima of the potential outside the horizon, indicating the existence of stable and metastable multicenter AdS black holes in the extreme mass ratio regime, at fixed temperature and charges. For the planar case, we also find an instability towards nucleation of spacetime-filling M2 branes. With this analysis, we address some open questions on the holographic description of glassy phases of matter.
Highlights
Black hole bound states play an interesting role in black hole physics
While the first examples of multicenter black holes relied on preserving supersymmetry, it was later discovered that non-BPS multicenter black holes [8, 9] exist as well
The main aim of this paper is to address these points and establish the presence of multicenter black holes in supergravity models with charged scalars, obtained by reducing M-theory on Sasaki-Einstein manifolds which have noncontractible cycles in the internal manifold, which can be wrapped by branes
Summary
Black hole bound states play an interesting role in black hole physics. A central question is how to keep a configuration of multiple black holes in equilibrium: the gravitational force should be balanced by the electromagnetic interaction and the interplay with other matter fields. The main aim of this paper is to address these points and establish the presence of multicenter black holes in supergravity models with charged scalars, obtained by reducing M-theory on Sasaki-Einstein manifolds which have noncontractible cycles in the internal manifold, which can be wrapped by branes. Such manifolds have nontrivial Betti numbers, the nth Betti number parameterizing the number of linearly independent harmonic n-forms on the internal manifold.
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