Non-supersymmetric black rings as thermally excited supertubes

TL;DR

This work builds a seven-parameter family of non-supersymmetric black rings in five dimensions with three charges, three dipoles, and two angular momenta, showing regular horizons and nonzero temperature. Using a seed of dipole black tubes and a chain of solution-generating transformations, the authors construct eleven-dimensional solutions that map to D1-D5-P configurations with KK dipoles, and they analyze extremal, supersymmetric, and decoupling limits. The results illuminate how thermal deformations of supertubes correspond to non-supersymmetric rings, reveal constraints from Dirac-Misner absence and conical regularity, and connect these deformations to dual D-brane systems, including the D1-D5-P and two-charge supertubes. While the full three-charge, three-dipole BPS rings lie beyond the current family, the findings offer a consistent framework for near-supersymmetric excitations and motivate broader generalizations to capture the complete non-BPS landscape and its microscopic interpretation.

Abstract

We construct a seven-parameter family of supergravity solutions that describe non-supersymmetric black rings and black tubes with three charges, three dipoles and two angular momenta. The black rings have regular horizons and non-zero temperature. They are naturally interpreted as the supergravity descriptions of thermally excited configurations of supertubes, specifically of supertubes with two charges and one dipole, and of supertubes with three charges and two dipoles. In order to fully describe thermal excitations near supersymmetry of the black supertubes with three charges and three dipoles a more general family of black ring solutions is required.