中山大学苗荣欣团队研究了膜世界高导数引力的全息纠缠熵。该项研究成果发表在2025年3月4日出版的《高能物理杂志》上。

由于分裂问题，很难推导出一般高导数引力的全息纠缠熵。受双全息术和重整化纠缠熵的启发，研究组开发了一种推导膜世界高阶导数（BWHD）引力广义引力熵的方法。值得注意的是，这种方法与分裂问题无关。所谓的BWHD引力是一种关于膜的有效理论，由全息重整化的反项给出。有趣的是，爱因斯坦引力的所有解也是BWHD引力的解。

研究组首先验证了该方法可以推导出曲率平方引力的正确结果，然后推导出立方BWHD引力的全息纠缠熵，这是该研究的主要结果。还推导了具有恒定外曲率的平坦空间中四次BWHD引力的熵，并对该结果进行了多次测试。最后，简要评论了该研究结果。

附：英文原文

Title: Holographic entanglement entropy for brane-world higher derivative gravity

Author: Miao, Rong-Xin, Xie, Zi-Bing

Issue&Volume: 2025-03-04

Abstract: Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world higher derivative (BWHD) gravity. Remarkably, this approach is independent of the splitting problem. The so-called BWHD gravity is an effective theory on the brane, given by the counter terms of holographic renormalization. Interestingly, all solutions to Einstein gravity are also solutions to BWHD gravity. We first verify our approach can derive the correct results for curvature-squared gravity and then derive the holographic entanglement entropy for cubic BWHD gravity, which is the main result of this paper. We also derive the entropy of quartic BWHD gravity in flat space with constant extrinsic curvatures and perform several tests on our results. Finally, we briefly comment on our results.

DOI: 10.1007/JHEP03(2025)015

Source: https://link.springer.com/article/10.1007/JHEP03(2025)015