Non-supersymmetric F1-P black rings

TL;DR

The paper addresses the problem of extending the landscape of five-dimensional black rings by constructing non-supersymmetric F1–P rings with one and two spins. It employs a systematic duality-based approach, embedding the NS–NS sector into six dimensions, applying boosts and T-dualities to seed dipole rings, and reducing back to five dimensions to generate two-charge F1–P solutions. The authors present a singly spinning ring in the duality orbit of a known solution and a doubly spinning, charged extension of a Chen–Hong–Teo ring, detailing their physical properties, limits, and near-horizon structure. Significantly, they identify an extremal limit with $S = 2 \\pi J_{\\phi}$ and connect the near-horizon geometry to Bena–Warner harmonic-function data, providing backgrounds useful for gravitational index constructions and potential microstate counting insights in string theory.

Abstract

We construct singly and doubly spinning non-supersymmetric F1--P black ring solutions in five-dimensional supergravity. These black rings have regular horizons and non-zero temperature. The singly spinning configuration lies in the duality orbit of the black ring constructed by Elvang, Emparan, and Figueras, while the doubly spinning configuration is a charged extension of the black ring constructed by Chen, Hong, and Teo. We analyze the physical properties of these solutions and the various limits they admit. In particular, the doubly spinning solution admits an extremal limit in which the entropy satisfies the relation S= 2 πJ_φ, thereby linking it directly to the angular momentum on the S^2.