We study stable circular orbits in spherically symmetric AdS black holes in various dimensions and their limiting innermost stable circular orbits (ISCOs). We provide analytic expressions for their size, angular velocity and angular momentum in a large black hole mass regime. The dual interpretation is in terms of meta-stable states not thermalising in typical thermal scales and whose existence is due to non-perturbative effects on the spatial curvature. Our calculations reproduce the binding energy known in the literature, but also include a binding energy in the radial fluctuations corresponding to near circular trajectories. We also describe how particles are placed on these orbits from integrated operators on the boundary: they tunnel inside in a way that can be computed from both complex geodesics in the black hole background and from the WKB approximation of the wave equation. We explain how these two computations are related.

中文翻译：

---

AdS/CFT 中的 ISCO

我们研究了各种尺寸的球对称 AdS 黑洞中的稳定圆轨道及其限制的最内稳定圆轨道 (ISCO)。我们提供了大黑洞质量体系中它们的大小、角速度和角动量的解析表达式。双重解释是亚稳态在典型的热尺度中不热化，其存在是由于对空间曲率的非微扰效应。我们的计算再现了文献中已知的结合能，但也包括对应于近圆形轨迹的径向波动中的结合能。我们还描述了粒子如何从边界上的集成算子放置在这些轨道上：它们以一种可以从黑洞背景中的复杂测地线和波动方程的 WKB 近似计算的方式在内部隧道。我们解释了这两个计算是如何相关的。