Black holes with spindles at the horizon

TL;DR

This paper constructs new supersymmetric black hole solutions with spindle horizons in six-dimensional supergravity, computes their holographic free energy and entropy, and suggests dual three-dimensional SCFTs on spindles, revealing novel topological twists.

Contribution

It introduces novel $AdS_4$ and $AdS_2$ solutions with spindle horizons in F(4) gauged supergravity, including topological and anti twists, and connects these to dual SCFTs and entropy functionals.

Findings

Holographic free energy matches entropy from extremization.

Solutions realize topological and anti twists.

Some solutions embed in four-dimensional supergravity.

Abstract

We construct $AdS_4 \times \Sigma$ and $AdS_2 \times \Sigma \times \Sigma_g$ solutions in F(4) gauged supergravity in six dimensions, where $\Sigma$ is a two dimensional manifold of non-constant curvature with conical singularities at its two poles, called a spindle, and $\Sigma_g$ is a constant curvature Riemann surface of genus g. We find that the first solution realizes a "topologically topological twist", while the second class of solutions gives rise to an "anti twist". We compute the holographic free energy of the $AdS_4 \times \Sigma$ solution and find that it matches the entropy computed by extremizing an entropy functional that is constructed by gluing gravitational blocks. For the $AdS_2 \times \Sigma \times \Sigma_g$ solution, we find that the Bekenstein-Hawking entropy is reproduced by extremizing an appropriately defined entropy functional, which leads us to conjecture that this solution is dual to a three dimensional SCFT on a spindle. A class of the $AdS_2 \times \Sigma \times \Sigma_g$ solutions can be embedded in four dimensional T3 gauged supergravity, which is a subtruncation of the six dimensional theory.