arXiv 2112.044312021-12hep-th

视界上有纺锤体的黑洞

Black holes with spindles at the horizon

Suvendu Giri

备注：: v2: Published version
发表信息：: JHEP 06 (2022) 145
DOI：: 10.1007/JHEP06(2022)145

摘要：

本文在F（4）规范超引力下构造了六维$AdS_4 \times Σ$和$AdS_2 \times Σ\times Σ_g$解，其中$Σ$是一个在其两极具有圆锥奇点的二维流形，称为纺锤形，而$Σ_g$是亏格为g的常曲率黎曼曲面.我们发现，第一类解决方案实现了“拓扑拓扑扭曲”，而第二类解决方案产生了“反扭曲”。我们计算了全息自由能的$AdS_4 \times Σ$解决方案，并发现它匹配的熵计算通过极值熵功能，这是由胶合引力块构造。对于$AdS_2 \times Σ\times Σ_g$解，我们发现Bekenstein-Hawking熵是通过极值化一个适当定义的熵泛函来再现的，这使我们猜想这个解是一个三维纺锤体上的SCFT的对偶.一类$AdS_2 \times Σ\times Σ_g$解可以嵌入到四维T3规范超引力中，这是六维理论的一个次截断。

英文摘要：

We construct $AdS_4 \times Σ$ and $AdS_2 \times Σ\times Σ_g$ 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 $Σ_g$ 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 $AdS_4 \times Σ$ solution and find that it matches the entropy computed by extremizing an entropy functional that is constructed by gluing gravitational blocks. For the $AdS_2 \times Σ\times Σ_g$ 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 $AdS_2 \times Σ\times Σ_g$ solutions can be embedded in four dimensional T3 gauged supergravity, which is a subtruncation of the six dimensional theory.

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