Smooth horizonless geometries deep inside the black-hole regime

TL;DR

This paper constructs a new family of smooth, horizonless supergravity solutions that replicate the properties of supersymmetric rotating black holes, resolving the singularity into a smooth cap and matching dual CFT states.

Contribution

It introduces the first explicit family of horizonless geometries with the same charges as black holes, deep inside the quantum regime, expanding the microstate geometry landscape.

Findings

Solutions have the same mass, charges, and angular momenta as black holes.

Geometries resolve singularities into smooth caps deep in the throat.

Solutions correspond to states counted by the CFT elliptic genus.

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 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.