论文标题
量子极端岛屿变得容易，部分：勃兰人的复杂性
Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
论文作者
论文摘要
我们研究了[Arxiv：2006.04851] [Arxiv：2010.00018]中引入的双重全息模型中的全息复杂性。我们专注于全息复杂性=岛阶段边界区域的体积（CV）提案。利用了布雷恩附近的度量标准和其他几何量的Fefferman-Graham扩展，我们为复杂性提供了主要贡献，并根据诱导的高质量重力作用的岛上的岛屿综合体积来解释这些岛屿。在这些结果的推动下，我们提出了对更高曲率重力理论的简历建议的概括。此外，我们通过研究大体中的高斯重力和F（R）重力来对我们的建议进行两次一致性检查。
We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(R) gravity in the bulk.
