Our interest is to find the difference of the behavior between black holes with three different topologies. These black holes have spherical, hyperbolic and toroidal structures. We study in this paper the behavior of a probe D5-branes in this nontrivial black hole spacetime. We would like to find the solution what describe the embedding of probe D5-brane. This system realizes an "interface" solution, a kind of non-local operators, on the boundary gauge theories. These operators are important to deepen understanding of AdS/CFT correspondence.

中文翻译：

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拓扑黑洞上的 D5-膜

我们的兴趣是找出具有三种不同拓扑结构的黑洞之间的行为差​​异。这些黑洞具有球形、双曲线和环形结构。我们在本文中研究了探测器 D5-膜在这个非平凡的黑洞时空中的行为。我们想找到描述探针 D5-膜嵌入的解决方案。该系统在边界规范理论上实现了一种“界面”解，一种非局部算子。这些运算符对于加深对 AdS/CFT 对应关系的理解非常重要。