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Updated: Mar 11, 2026

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Smooth Horizonless Geometries Deep Inside the Black-Hole Regime
Iosif Bena1, Stefano Giusto2, Emil J Martinec3
1Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, F-91191 Gif sur Yvette, France.
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.
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