Black holes with spindles at the horizon
Abstract
We construct AdS4 × Σ and AdS2 × Σ × Σg solutions in F(4) gauged supergravity in six dimensions, where Σ is a two dimensional manifold of non-constant curvature with conical singularities at its two poles, called a spindle, and Σg 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 AdS4 × Σ solution and find that it matches the entropy computed by extremizing an entropy functional that is constructed by gluing gravitational blocks. For the AdS2 × Σ × Σg 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 AdS2 × Σ × Σg solutions can be embedded in four dimensional T3 gauged supergravity, which is a subtruncation of the six dimensional theory.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- June 2022
- DOI:
- 10.1007/JHEP06(2022)145
- arXiv:
- arXiv:2112.04431
- Bibcode:
- 2022JHEP...06..145G
- Keywords:
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- Black Holes in String Theory;
- AdS-CFT Correspondence;
- High Energy Physics - Theory
- E-Print:
- v2: Published version