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

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.

arXiv comment46 pages, 3 figures; v2: corrected typos, matches published version

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• Quantum Information in Holographic Duality
• A BMS-invariant free scalar model
• Swing surfaces and holographic entanglement beyond AdS/CFT
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• Non-Lorentzian Chaos and Cosmological Holography
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• BMS Modular Diaries: Torus one-point function
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• First Law and Quantum Correction for Holographic Entanglement Contour
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT${}_2$
• Thermal Corrections to Rényi Entropy in BMS Field Theory
• Gravitational radiations of Kerr black hole from warped symmetries
• Warped CFT duals of the Plebański-Demiański family of solutions
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Modular Flow of Celestial Conformal Field Theory