Supersymmetric Rotating Black Holes and Attractors

TL;DR

This paper investigates five-dimensional supersymmetric rotating black holes within N=2 supergravity, demonstrating unbroken supersymmetry, enhanced near-horizon supersymmetry, and deriving a formula for the horizon area involving charge and angular momentum.

Contribution

It provides a direct proof of unbroken supersymmetry for rotating solutions and shows supersymmetry enhancement near the horizon, along with a new formula for the black hole horizon area.

Findings

Unbroken supersymmetry of rotating black holes is established.

Supersymmetry is enhanced near the horizon due to rotation.

Horizon area is given by Z_{fix}^{3}-J^2.

Abstract

Five-dimensional stringy rotating black holes are embedded into N=2 supergravity interacting with one vector multiplet. The existence of an unbroken supersymmetry of the rotating solution is proved directly by solving the Killing spinor equations. The asymptotic enhancement of supersymmetry near the horizon in the presence of rotation is established via the calculation of the super-curvature. The area of the horizon of the rotating supersymmetric black holes is found to be $\sqrt {Z_{fix}^{3 }- J^2}$, where $Z_{fix}$ is the extremal value of the central charge in moduli space.