Modular Hamiltonians in flat holography and (W)AdS/WCFT
Abstract
We study several aspects of holographic entanglement in two models known as flat/BMSFT and (W)AdS/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 or AdS 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.
Keywords
Cite
@article{arxiv.2006.10741,
title = {Modular Hamiltonians in flat holography and (W)AdS/WCFT},
author = {Luis Apolo and Hongliang Jiang and Wei Song and Yuan Zhong},
journal= {arXiv preprint arXiv:2006.10741},
year = {2020}
}
Comments
46 pages, 3 figures; v2: corrected typos, matches published version