Supersymmetric Kerr--anti-deSitter solutions

TL;DR

This paper constructs explicit supersymmetric solutions of five-dimensional Kerr-AdS black holes in type IIB supergravity, revealing new configurations with specific angular momenta, mass, and singularity properties.

Contribution

It provides the first explicit construction of one quarter supersymmetric Kerr-AdS solutions with detailed geometric and physical properties.

Findings

Existence of one quarter supersymmetric Kerr-AdS solutions.

Explicit Killing spinors constructed for these solutions.

Solutions have specific angular momenta, mass, and naked singularities.

Abstract

We prove the existence of one quarter supersymmetric type IIB configurations that arise as non-trivial scaling solutions of the standard five dimensional Kerr-AdS black holes by the explicit construction of its Killing spinors. This neutral, spinning solution is asymptotic to the static anti-deSitter space-time with cosmological constant $-\textstyle{\frac{1}{\ell^2}}$, it has two finite equal angular momenta $J_1=\pm J_2$, mass $M=\textstyle{\frac{1}{\ell}} (|J_1|+|J_2|)$ and a naked singularity.We also address the scaling limit associated with one half supersymmetric solution with only one angular momentum.