A bstract We construct a family of nonsupersymmetric extremal black holes and their horizonless microstate geometries in four dimensions. The black holes can have finite angular momentum and an arbitrary chargetomass ratio, unlike their supersymmetric cousins. These features make them and their microstate geometries astrophysically relevant. Thus, they provide interesting prototypes to study deviations from Kerr solutions caused by new horizonscale physics. In this paper, we compute the gravitational multipole structure of these solutions and compare them to Kerr black holes. The multipoles of the black hole differ significantly from Kerr as they depend nontrivially on the chargetomass ratio. The horizonless microstate geometries (that are comparable in size to a black hole) have a similar multipole structure as their corresponding black hole, with deviations to the black hole multipole values set by the scale of their microstructure.
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The statistical mechanics of nearBPS black holes
Abstract Due to the failure of thermodynamics for low temperature nearextremal black holes, it has long been conjectured that a ‘thermodynamic mass gap’ exists between an extremal black hole and the lightest nearextremal state. For nonsupersymmetric nearextremal black holes in Einstein gravity with an AdS 2 throat, no such gap was found. Rather, at that energy scale, the spectrum exhibits a continuum of states, up to nonperturbative corrections. In this paper, we compute the partition function of nearBPS black holes in supergravity where the emergent, broken, symmetry is PSU (1, 12). To reliably compute this partition function, we show that the gravitational path integral can be reduced to that of a N = 4 supersymmetric extension of the Schwarzian theory, which we define and exactly quantize. In contrast to the nonsupersymmetric case, we find that black holes in supergravity have a mass gap and a large extremal black hole degeneracy consistent with the Bekenstein–Hawking area. Our results verify a plethora of string theory conjectures, concerning the scale of the mass gap and the counting of extremal microstates.
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 Award ID(s):
 1914860
 NSFPAR ID:
 10381948
 Date Published:
 Journal Name:
 Journal of Physics A: Mathematical and Theoretical
 Volume:
 55
 Issue:
 1
 ISSN:
 17518113
 Page Range / eLocation ID:
 014004
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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