Abstract
Abstract We find a family of novel supersymmetric phases of the D1-D5 CFT, which in certain ranges of charges have more entropy than all known ensembles. We also find bulk BPS configurations that exist in the same range of parameters as these phases, and have more entropy than a BMPV black hole; they can be thought of as coming from a BMPV black hole shedding a “hair” condensate outside of the horizon. The entropy of the bulk configurations is smaller than that of the CFT phases, which indicates that some of the CFT states are lifted at strong coupling. Neither the bulk nor the boundary phases are captured by the elliptic genus, which makes the coincidence of the phase boundaries particularly remarkable. Our configurations are supersymmetric, have non-Cardy-like entropy, and are the first instance of a black hole entropy enigma with a controlled CFT dual. Furthermore, contrary to common lore, these objects exist in a region of parameter space (between the “cosmic censorship bound” and the “unitarity bound”) where no black holes were thought to exist.
Highlights
Introduction and summaryThe past few years have seen a great interest in the hair of black holes in anti-de Sitter (AdS) spacetimes
We have carefully investigated the supersymmetric phases of the D1-D5 system, and found new phases on both sides of the AdS/CFT correspondence
The new phase in the CFT is always entropically dominant over the BMPV phase in the whole parameter region where the two phases coexist, whereas the new phase in supergravity is dominant over the BMPV phase in a much smaller region
Summary
The past few years have seen a great interest in the hair of black holes in anti-de Sitter (AdS) spacetimes. One can identify the CFT phase dual to the bulk BMPV black hole and show that this CFT phase (known as the “long string” sector) exists all the way down to the cosmic censorship bound and that its entropy is always equal to (1.2) in the large N limit. In figure 2 we have shown only a small region of parameters Np and JL, by the spectral flow symmetry of the bulk and of the boundary, the new phase exists in all “wedges” below the cosmic censorship bound shown in figure 1 (see figure 6). This appears to imply that in the region (1.3) the only thing that exist in the bulk are supergravity particles and there are no black hole states This was the reason why the phase diagram was thought to be as shown in figure 1. We present technical details and further clarifications on the subjects discussed in the main text
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