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Modular Hamiltonians in flat holography and (W)AdS/WCFT

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arxiv 2006.10741 v2 pith:3AKHBED6 submitted 2020-06-18 hep-th

Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong This is my paper
classification hep-th
keywords fieldflatholographicholographymodulartheoriesbmsftsboundary
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abstract

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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modular Hamiltonian and entanglement entropy in the BMS free fermion theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    In the BMS free fermion model, the two-interval modular Hamiltonian has local plus bi-local terms, and the vacuum entanglement entropy for n intervals is the chiral-CFT formula with c_L=1 and c_M=0.

  2. Modular Flow of Celestial Conformal Field Theory

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    The work introduces vector flow and modular flows in celestial field theory and Klein CFTs and examines their structures in Lifshitz and exotic field theories.

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