I review some recent progresses in counting the number of microstates of AdS supersymmetric black holes in dimension equal or greater than four using holography. The counting is obtained by applying localization and matrix model techniques to the dual field theory. I cover in details the case of dyonic AdS\(_4\) black holes, corresponding to a twisted compactification of the dual field theory, and I discuss the state of the art for rotating AdS\(_5\) black holes.

中文翻译：

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AdS黑洞，全息图和本地化

我回顾了使用全息技术计算AdS超对称黑洞的微观状态数量（等于或大于四个）的最新进展。通过将定位和矩阵模型技术应用于对偶场理论来获得计数。我详细介绍了强音AdS \（_ 4 \）黑洞的情况，它对应于对偶场理论的扭曲压缩，我讨论了旋转AdS \（_ 5 \）黑洞的最新技术。