近日，日本芝浦工业大学Kengo Maeda团队研究了全息半经典引力中AdS的高维不稳定性。该项研究成果发表在2025年4月22日出版的《高能物理杂志》上。

在AdS/CFT对偶的框架下，研究组考虑了广义二次引力理论中的半经典问题。通过扰动全息半经典方程的最大对称AdS解，他们在4维和5维上构造了具有非平凡量子毛的渐近全局AdS和双曲（拓扑）AdS黑洞解。结果发现，在某些条件下，双曲AdS黑洞的半经典解在线性扰动下可能是动态不稳定的。

在这种全息半经典背景下，研究组还通过计算自由能研究了5维高斯-邦纳理论中毛状解的热力学不稳定性，并表明根据高斯-邦内理论的参数，在全局AdS和双曲AdS黑洞的情况下，自由能可以小于背景最大对称AdS解的自由能。

附：英文原文

Title: The higher dimensional instabilities of AdS in holographic semiclassical gravity

Author: Ishibashi, Akihiro, Maeda, Kengo, Okamura, Takashi

Issue&Volume: 2025-04-22

Abstract: In the framework of AdS/CFT duality, we consider the semiclassical problem in general quadratic theory of gravity. We construct asymptotically global AdS and hyperbolic (topological) AdS black hole solutions with non-trivial quantum hair in 4 and 5-dimensions by perturbing the maximally symmetric AdS solutions to the holographic semiclassical equations. We find that under certain conditions, our semiclassical solution of hyperbolic AdS black holes can be dynamically unstable against linear perturbations. In this holographic semiclassical context, we also study the thermodynamic instability of the hairy solutions in the 5-dimensional Gauss-Bonnet theory by computing the free energy and show that depending on the parameter of the Gauss-Bonnet theory, the free energy can be smaller than that of the background maximally symmetric AdS solution in both the global AdS and hyperbolic AdS black hole cases.

DOI: 10.1007/JHEP04(2025)167

Source: https://link.springer.com/article/10.1007/JHEP04(2025)167