Holographic description of non-supersymmetric orbifolded D1-D5-P solutions

Abstract

Non-supersymmetric black hole microstates are of great interest in the context of the black hole information paradox. We identify the holographic description of the general class of non-supersymmetric orbifolded D1-D5-P supergravity solutions found by Jejjala, Madden, Ross and Titchener. This class includes both completely smooth solutions and solutions with conical defects, and in the near-decoupling limit these solutions describe degrees of freedom in the cap region. The CFT description involves a general class of states obtained by fractional spectral flow in both left-moving and right-moving sectors, generalizing previous work which studied special cases in this class. We compute the massless scalar emission spectrum and emission rates in both gravity and CFT and find perfect agreement, thereby providing strong evidence for our proposed identification. We also investigate the physics of ergoregion emission as pair creation for these orbifolded solutions. Our results represent the largest class of non-supersymmetric black hole microstate geometries with identified CFT duals presently known

Instability of supersymmetric microstate geometries

“…However, the rate of decay is very slow, since at leading order the term that controls it is e −2 log which is very small for large . 12 A similarly simple expression was found for the real part of the frequencies of unstable modes in the non-supersymmetric 3-charge geometries in the decoupling limit in [51] although in that case the real part of the frequency scales as in general.…”

“…We use an asymptotic matching procedure with → ∞ a large parameter, similar to that used in ref. [51] for the decoupling limit of non-supersymmetric 3-charge microstate geometries. …”

Non-BPS multi-bubble microstate geometries

“…In this limit the ergoregion is deep inside the throat, and in the dual CFT the ergoregion emission is naturally interpreted as the Hawking radiation emitted by the dual CFT states [66][67][68]. Until recently, the dual states had been known for only a subset of parameters of the full JMaRT solutions, however recently the dual CFT states of the most general JMaRT solutions have been identified [69], and the emission spectrum and rate have been found to match between gravity and CFT for all parameters. While our present solutions do not appear to have standard AdS 3 × S 3 throats, they do have ergoregions, and thus one may also expect them to decay via ergoregion emission.…”

Correlation functions in the D1-D5 orbifold CFT

“…Early discussions of (non-generic) microstates for macroscopic black holes can be found in [18][19][20][21][22][23][24][25]. Recent constructions of microstates illustrate more generic features, using concepts such as superstrata, see for example [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]; there is ongoing study of what fraction of the black hole microstates such constructions can represent.…”