论文标题
平面全息和（W）AD/WCFT的模块化哈密顿量
Modular Hamiltonians in flat holography and (W)AdS/WCFT
论文作者
论文摘要
我们研究了两个模型中全息纠缠的几个方面，称为Flat $ _3 $/bmsft和（w）ADS $ _3 $/wcft。这是超越AD/CFT的全息图的两个示例，其中边界场理论不是Lorentz不变的，但仍然具有无限的局部对称性。在第一个示例中，BMS不变的场理论（BMSFTS）猜想以提供渐近平坦的三维空间中量子重力的全息描述；在第二个示例中，提出了扭曲的保形场理论（WCFTS）来描述扭曲广告中的量子重力$ _3 $或ADS $ _3 $背景，具有Dirichlet-Neumann边界条件。特别是，我们在BMSFT和WCFTS中为单个间隔提供了模块化的哈密顿量，并使用重力电荷的协变配方在散装中找到全息二。我们还将纠缠熵的第一定律扩展到了这些非ADS全息模型的模型，并讨论了最近在ADS/CFT对应关系的“模块化混乱”上的结合。
We study several aspects of holographic entanglement in two models known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. These are two examples of holography beyond AdS/CFT where the the boundary field theories are not Lorentz invariant but still feature an infinite set of local symmetries. In the first example, BMS-invariant field theories (BMSFTs) are conjectured to provide a holographic description of quantum gravity in asymptotically flat three-dimensional spacetimes; while in the second example, warped conformal field theories (WCFTs) are proposed to describe quantum gravity in warped AdS$_3$ or AdS$_3$ backgrounds with Dirichlet-Neumann boundary conditions. In particular, we derive the modular Hamiltonian for single intervals in both BMSFTs and WCFTs and find the holographic duals in the bulk using the covariant formulation of gravitational charges. We also extend the first law of entanglement entropy to these models of non-AdS holography and discuss the bound on "modular chaos" introduced recently in the context of the AdS/CFT correspondence.
