Black holes with spindles at the horizon
Abstract
We construct AdS_{4} × Σ and AdS_{2} × Σ × Σ_{g} solutions in F(4) gauged supergravity in six dimensions, where Σ is a two dimensional manifold of nonconstant curvature with conical singularities at its two poles, called a spindle, and Σ_{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} × Σ 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} × Σ × Σ_{g} solution, we find that the BekensteinHawking 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} × Σ × Σ_{g} solutions can be embedded in four dimensional T^{3} gauged supergravity, which is a subtruncation of the six dimensional theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2022
 DOI:
 10.1007/JHEP06(2022)145
 arXiv:
 arXiv:2112.04431
 Bibcode:
 2022JHEP...06..145G
 Keywords:

 Black Holes in String Theory;
 AdSCFT Correspondence;
 High Energy Physics  Theory
 EPrint:
 v2: Published version