Abstract

In this talk, I will discuss charged superradiant instabilities suffered by black holes in asymptotically AdS_5 * S^5. Hairy black hole solutions (constructed within gauged supergravity) have previously been proposed as endpoints to this instability. In this work, we demonstrate that these hairy black holes are themselves unstable to the emission of large dual giant gravitons. We propose that the endpoint to this instability is given by Dual Dressed Black Holes (DDBH)s; configurations consisting of one, two, or three very large dual giant gravitons surrounding a core AdS black hole with one, two, or three SO(6) chemical potentials equal to unity. We conjecture that DDB Hs dominate the phase diagram of N = 4 Yang-Mills over a range of energies around the BPS plane, and provide an explicit construction of this phase diagram, briefly discussing the interplay with supersymmetry. We also construct the 10-dimensional DDBH supergravity solutions.