Surface theory: the classical, the quantum, and the holographic
Surface theory: the classical, the quantum, and the holographic
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表面理论：经典理论、量子理论和全息理论
DOI：
10.1088/1361-6382/ab3bda
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发表时间：
2019
影响因子：
3.5
通讯作者：
S. Fischetti
中科院分区：
文献类型：
--
作者：
Netta Engelhardt;S. Fischetti
动力的子区域/子区域的对偶约束散装几何规范/重力对偶的权力，我们追求一个全面和系统的方法扰动下的极端表面的行为。具体来说，我们考虑修改他们的边界条件，散装度量，散装量子物质领域。我们提出了一个统一的框架来处理这样的扰动经典极值曲面，分类他们的一些稳定性，并开发新的技术来扩展我们的治疗量子极值曲面，最终在一个“量子极值偏差方程”。这种形式主义的力量的一部分是由于它能够映射到椭圆算子的语言的几何语句;为了说明，我们表明，各种先验不同的批量约束都遵循从基本一致的子区域/子区域对偶。这些包括熟悉的性质，如（模糊）版本的量子聚焦猜想和广义第二定律，以及对（i）接近真空时空中的度量和物质微扰和（ii）一般（不一定接近真空）时空中的体应力张量的新约束。后一种约束非常类似于量子能量不等式。
Motivated by the power of subregion/subregion duality for constraining the bulk geometry in gauge/gravity duality, we pursue a comprehensive and systematic approach to the behavior of extremal surfaces under perturbations. Specifically, we consider modifications to their boundary conditions, to the bulk metric, and to bulk quantum matter fields. We present a unified framework for treating such perturbations for classical extremal surfaces, classify some of their stability properties, and develop new technology to extend our treatment to quantum extremal surfaces, culminating in an ‘equation of quantum extremal deviation’. Part of the power of this formalism is due to its ability to map geometric statements into the language of elliptic operators; to illustrate, we show that various a priori disparate bulk constraints all follow from basic consistency of subregion/subregion duality. These include familiar properties such as (smeared) versions of the quantum focusing conjecture and the generalized second law, as well as new constraints on (i) metric and matter perturbations in spacetimes close to vacuum and (ii) the bulk stress tensor in generic (not necessary close to vacuum) spacetimes. This latter constraint is highly reminiscent of a quantum energy inequality.
一般黑洞时空中的受限极大极小面和 HRT
影响因子：
5.4
作者：
Marolf, Donald;Wall, Aron C.;Wang, Zhencheng
通讯作者：
Wang, Zhencheng