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We study a class of quantum states involving multiple entangled CFTs in AdS$_3$/CFT$_2$, associated with multi-boundary black hole geometries, and demonstrate that the Ryu-Takayanagi (RT) formula for entanglement entropy can be derived…

High Energy Physics - Theory · Physics 2026-01-01 Ning Bao , Hao Geng , Yikun Jiang

We study the formation, detection and coarse-graining of black holes in AdS/CFT, with an emphasis on the tension between boundary unitarity and the production of mixed state Hawking radiation in the bulk. We construct CFT states dual to…

High Energy Physics - Theory · Physics 2026-02-23 Jan de Boer , Jildou Hollander , Andrew Rolph

It was recently shown by Harlow that any quantum error correcting code, satisfying the same complementary recovery properties as AdS/CFT, will obey a version of the Ryu-Takayanagi formula. In his most general result, Harlow allowed the bulk…

High Energy Physics - Theory · Physics 2019-12-06 Helia Kamal , Geoffrey Penington

Recent works by Chandrasekaran, Penington, and Witten have shown in various special contexts that the quantum-corrected Ryu-Takayanagi (RT) entropy (or its covariant Hubeny-Rangamani-Takayanagi (HRT) generalization) can be understood as…

High Energy Physics - Theory · Physics 2024-10-17 Eugenia Colafranceschi , Xi Dong , Donald Marolf , Zhencheng Wang

Recent results suggest that new corrections to holographic entanglement entropy should arise near phase transitions of the associated Ryu-Takayanagi (RT) surface. We study such corrections by decomposing the bulk state into fixed-area…

High Energy Physics - Theory · Physics 2020-12-30 Donald Marolf , Shannon Wang , Zhencheng Wang

I argue that a version of the quantum-corrected Ryu-Takayanagi formula holds in any quantum error-correcting code. I present this result as a series of theorems of increasing generality, with the final statement expressed in the language of…

High Energy Physics - Theory · Physics 2017-08-02 Daniel Harlow

We consider bulk quantum fields in AdS/CFT in the background of an eternal black hole. We show that for black holes with finite entropy, correlation functions of semiclassical bulk operators close to the horizon deviate from their…

High Energy Physics - Theory · Physics 2015-06-19 Daniel Kabat , Gilad Lifschytz

We consider the question of whether the leading contribution to the entanglement entropy in holographic CFTs is truly given by the expectation value of a linear operator as is suggested by the Ryu-Takayanagi formula. We investigate this…

High Energy Physics - Theory · Physics 2017-02-21 Ahmed Almheiri , Xi Dong , Brian Swingle

For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

High Energy Physics - Theory · Physics 2016-09-21 Mirah Gary , Steven B. Giddings

Tensor networks implementing quantum error correcting codes have recently been used to construct toy models of holographic duality explicitly realizing some of the more puzzling features of the AdS/CFT correspondence. These models reproduce…

High Energy Physics - Theory · Physics 2016-03-23 Zhao Yang , Patrick Hayden , Xiao-Liang Qi

In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the…

General Relativity and Quantum Cosmology · Physics 2013-02-19 Arundhati Dasgupta

Causal holographic information [1] is a variant of the Ryu-Takayanagi proposal for the entanglement entropy of a spatial region in the context of AdS/CFT, but with the bulk surface defined by causality rather than extremality. We…

High Energy Physics - Theory · Physics 2014-12-18 Ben Freivogel , Benjamin Mosk

The information paradox in the quantum evolution of black holes is studied within the framework of the AdS/CFT correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is…

High Energy Physics - Theory · Physics 2016-08-25 D. A. Lowe , L. Thorlacius

Both AdS/CFT duality and more general reasoning from quantum gravity point to a rich collection of boundary observables that always evolve unitarily. The physical quantum gravity states described by these observables must be solutions of…

High Energy Physics - Theory · Physics 2021-11-05 Ted Jacobson

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

High Energy Physics - Theory · Physics 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

Large black holes in anti-de Sitter space have positive specific heat and do not evaporate. In order to mimic the behavior of evaporating black holes, one may couple the system to an external bath. In this paper we explore a rich family of…

High Energy Physics - Theory · Physics 2022-10-05 Tarek Anous , Marco Meineri , Pietro Pelliconi , Julian Sonner

We review the way the BTZ black hole relaxes back to thermal equilibrium after a small perturbation and how it is seen in the boundary (finite volume) CFT. The unitarity requires the relaxation to be quasi-periodic. It is preserved in the…

High Energy Physics - Theory · Physics 2017-08-23 Sergey N. Solodukhin

Black hole evaporation is one of the most striking phenomena at the interface between gravity and quantum physics. In Hawking's semi-classical treatment, where matter is quantum mechanical and the spacetime is definite and classical,…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Ali Akil , Lorenzo Giannelli , Leonardo Modesto , Oscar Dahlsten , Giulio Chiribella , Caslav Brukner

The aim of this chapter is twofold. First, we introduce the information loss problem; second, we provide a critical assessment by thoroughly inspecting the assumptions underlying its formulations. In particular, we argue that if we work in…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Luca Buoninfante , Francesco Di Filippo

We motivate through a detailed analysis of the Hawking radiation in a Schwarzschild background a scheme in accordance with quantum unitarity. In this scheme the semi-classical approximation of the unitary quantum - horizonless - black hole…

High Energy Physics - Theory · Physics 2011-01-05 Francois Englert , Philippe Spindel
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