Evidence for the existence of a novel class of supersymmetric black holes with AdS ₅ ×S ⁵ asymptotics

Abstract

We construct a new class of charged, rotating hairy black holes in a consistent truncation of N = 8 supergravity, which retains one charged scalar field and a U(1) gauge field. These hairy solutions can be uplifted to solutions of type IIB supergravity with AdS 5 ×S 5 asymptotics. We find rotating hairy black holes with finite entropy arbitrarily close to the supersymmetric bound -the resulting supersymmetric solution is a one-parameter extension of the Gutowski-Reall solution. These solutions have finite curvature invariants (including at extremality), but in the extremal limit exhibit diverging tidal forces in the near horizon region. Nevertheless, we argue that these limiting supersymmetric black holes can be consistently studied within the supergravity approximation.

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes

“…The squashing deformations studied in these papers should not affect the SCFT partition function, so one could expect the story to work similarly to the case with no squashing; however the subtleties related to the non-trivial gauge field at the boundary noted in [81] deserve a careful study. In another direction, one may wonder what field theory computation reproduces the entropy of the hairy black holes found in [82,83]. It will also be interesting to extend our findings to AdS 7 black holes and thus provide a physical explanation for the corresponding extremization principle proposed in [84].…”

Rotating hairy black holes in AdS5 × S5

“…In [47] we presented our first results for the rotating system; we reported a limit in which we can find hairy rotating black holes with a finite entropy S > 0 arbitrarily close to the BPS bound, with no divergence in the scalar field. These black holes have finite curvature invariants, and the Christoffel symbols remain square-integrable as T → 0.…”

Cardy-like asymptotics of the 4d $$ \mathcal{N}=4 $$ index and AdS5 blackholes

“…While this work was nearing completion the preprint [48] appeared on arXiv which has some overlap with our section 2. Reference [48] seems to suggest that extra hairy-blackhole [49,50] saddle-points might reside on the W wings of the parameterspace. As discussed in section 2, we find it more likely that no such extra blackhole saddle-points with entropies as large as the ones discussed here (as expected to be the case for the hairy blackholes of [49,50]) exist in the Cardy-like limit of the index.…”

“…Reference [48] seems to suggest that extra hairy-blackhole [49,50] saddle-points might reside on the W wings of the parameterspace. As discussed in section 2, we find it more likely that no such extra blackhole saddle-points with entropies as large as the ones discussed here (as expected to be the case for the hairy blackholes of [49,50]) exist in the Cardy-like limit of the index. The existence/interpretation of extra saddle-points in the large-N analysis [13] is of course a separate issue.…”