Supersymmetric black rings and three-charge supertubes

TL;DR

This paper constructs explicit supergravity solutions for supersymmetric black rings and supertubes with multiple charges and dipoles, revealing non-uniqueness in supersymmetric black hole solutions and providing new insights into their structure.

Contribution

It introduces the first explicit solutions for 1/8-supersymmetric black supertubes with three charges and dipoles, demonstrating non-uniqueness of supersymmetric black holes.

Findings

Solutions have seven parameters and regular horizons.

Reduction yields supersymmetric black rings with two angular momenta.

First example of non-uniqueness in supersymmetric black holes.

Abstract

We present supergravity solutions for 1/8-supersymmetric black supertubes with three charges and three dipoles. Their reduction to five dimensions yields supersymmetric black rings with regular horizons and two independent angular momenta. The general solution contains seven independent parameters and provides the first example of non-uniqueness of supersymmetric black holes. In ten dimensions, the solutions can be realized as D1-D5-P black supertubes. We also present a worldvolume construction of a supertube that exhibits three dipoles explicitly. This description allows an arbitrary cross-section but captures only one of the angular momenta.