The scales of black holes with nAdS2 geometry

Abstract

We study nearly extreme black holes with nearly AdS 2 horizon geometry in various settings inspired by string theory. Our focus is on the scales of the nAdS 2 region and their relation to microscopic theory. These scales are determined by a generalization of the attractor mechanism for extremal black holes and realized geometrically as the normal derivatives along the extremal attractor flow. In some cases the scales are equivalently determined by the charge dependence of the extremal attractor by itself. Our examples include near extreme black holes in D ≥ 4 dimensions, AdS boundary conditions, rotation, and 5D black holes on the non-BPS branch. A 4D N = 2 Ungauged Supergravity 34 B Solution of the Attractor Equations for the ST (N ) model. 35 B.1 Time-like Solutions: Q a X a = 0 36 B.2 Space-like Solutions: Q a X a = 0 36 C Deriving Black Hole Solutions for "Space-like" Charge Vectors 37-1 -1 In [20] a length scale was introduced as L there = 1 2 πL here . The normalization was chosen so L there coincides with the "long string scale" in the UV theory, at least in the simplest cases. The normalization L here is advantageous presently because it generalizes to any dimension.

The statistical mechanics of near-extremal black holes

“…The connection between JT gravity and near-extremal black holes has been widely discussed in past literature [38][39][40][41][42][43][44][45][46][47][48][49][50]. In fact, in [38], the scale M gap defined through the thermodynamics was identified as the symmetry breaking scale for the emergent nearhorizon AdS 2 isometries, SL(2, R).…”

Gravitational anomalies in nAdS2/nCFT1

“…And so the persistent trend in nAdS 2 holography, coined with a 'n' since we are 'near' to our original configuration, is that the deviations away from extremality are controlled by this pattern. For a review see [14].The application of this new framework to black hole physics has shown that, while JT models capture common features [15][16][17][18][19][20], the additional parameters for more general black holes display interactions that are not present in JT gravity [21][22][23][24][25][26][27]. This makes clear that there is new phenomena to be explored, that simpler models do not take into account.Our interest therefore is to further explore the properties of nAdS 2 /nCFT 1 with the goal of building a more refined understanding of the dynamics near the horizon of (near-)extremal black holes.…”

Microscopic entropy of AdS3 black holes revisited

“…In order to establish this we adapt the nearAdS attractor mechanism known in higher dimensions [45,46] to BTZ black holes [47,48]. Accordingly, consider a general asymptotically AdS 3 geometry of the form…”