Smooth Horizonless Geometries Deep Inside the Black-Hole Regime

Abstract

We construct the first family of horizonless supergravity solutions that have the same mass, charges, and angular momenta as general supersymmetric rotating D1-D5-P black holes in five dimensions. This family includes solutions with arbitrarily small angular momenta, deep within the regime of quantum numbers and couplings for which a large classical black hole exists. These geometries are well approximated by the black-hole solution, and in particular exhibit the same near-horizon throat. Deep in this throat, the black-hole singularity is resolved into a smooth cap. We also identify the holographically dual states in the N=(4,4) D1-D5 orbifold conformal field theory (CFT). Our solutions are among the states counted by the CFT elliptic genus, and provide examples of smooth microstate geometries within the ensemble of supersymmetric black-hole microstates.

Multicenter superstrata

“…Upon duaization to the D1-D5 frame, the supertubes produce regular geometries constructed in [4]. In the previous work a momentum charge has been added to a single circular supertube [21][22][23][24][25][26], and here we will extend these results to multiple concentric supertubes.…”

“…These solutions depend on arbitrary functions of two variables, and they became known as superstrata. Some special superstrata have been constructed in [21][22][23][24][25][26] by applying various generating techniques [12,[27][28][29]] to a two-charge round supertube [30]. We will extend this construction by starting with a background produced by several concentric supertubes.…”

Unitary 4-point correlators from classical geometries

“…On the bulk side the restriction to this subset of states simplifies the 6D metric (3.1). The family of D1D5 geometries dual to these states has in fact played an important role in some recent supergravity developments [31][32][33]. At some point of our analysis we will also assume that the numbers of |00 k strands are parametrically smaller than the number of | + + 1 strands (…”

Non-Abelian bubbles in microstate geometries

“…The direct identification of these configurations as representing typical microstates of a particular black hole is generally unclear due to the absence of a description in terms of a dual CFT. However very recently this identification has been performed for a particular type of configurations known as superstrata, constituting a major achievement of the fuzzball program [16]. Nevertheless, even though general microstate geometries lack of this identification, they are still very useful in providing valuable information about the physics of black holes in string theory, see for instance [17][18][19][20][21].…”