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It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar

In the AdS/CFT correspondence, the causal structure of the bulk AdS spacetime is tied to entanglement in the dual CFT. This relationship is captured by the connected wedge theorem, which states that a bulk scattering process implies the…

High Energy Physics - Theory · Physics 2025-07-22 Jacqueline Caminiti , Batia Friedman-Shaw , Alex May , Robert C. Myers , Olga Papadoulaki

We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors, we…

High Energy Physics - Theory · Physics 2017-02-01 ChunJun Cao , Sean M. Carroll , Spyridon Michalakis

A long-standing and intriguing question is: does the holographic principle apply to cosmologies like de Sitter spacetime? In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a…

High Energy Physics - Theory · Physics 2023-07-18 Taishi Kawamoto , Shan-Ming Ruan , Yu-ki Suzuki , Tadashi Takayanagi

An asymptotically AdS geometry connecting two or more boundaries is given by a entangled state, that can be expanded in the product basis of the Hilbert spaces of each CFT living on the boundaries. We derive a prescription to compute this…

High Energy Physics - Theory · Physics 2023-08-16 Marcelo Botta Cantcheff

A longstanding enigma within AdS/CFT concerns the entanglement entropy of holographic quantum fields in Rindler space. The vacuum of a quantum field in Minkowski spacetime can be viewed as an entangled thermofield double of two Rindler…

High Energy Physics - Theory · Physics 2024-03-19 Roberto Emparan , Javier M. Magan

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary region R to the area of an extremal surface in the bulk spacetime. This extremal surface can be obtained by a maximin construction, allowing many new…

High Energy Physics - Theory · Physics 2016-12-07 Aron C. Wall

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

High Energy Physics - Theory · Physics 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2011-02-16 Samuel Bilson

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in…

High Energy Physics - Theory · Physics 2014-07-08 Willy Fischler , Sandipan Kundu , Juan F. Pedraza

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four…

High Energy Physics - Theory · Physics 2019-12-10 Cesar Arias , Felipe Diaz , Per Sundell

The ER=EPR conjecture states that quantum entanglement between boundary degrees of freedom leads to the emergence of bulk spacetime itself. Although this has been tested extensively in String Theory for asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2025-05-21 Suddhasattwa Brahma , Lucas Hackl , Moatsem Hassan , Xiancong Luo

We develop further the investigations in arXiv:2210.12963 [hep-th] on de Sitter space, extremal surfaces and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from $AdS$ while…

High Energy Physics - Theory · Physics 2025-03-03 K. Narayan

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

We refine previous investigations on de Sitter space and extremal surfaces anchored at the future boundary $I^+$. Since such surfaces do not return, they require extra data or boundary conditions in the past (interior). In entirely…

High Energy Physics - Theory · Physics 2023-06-21 K. Narayan

Recent work has shown that entanglement and the structure of spacetime are intimately related. One way to investigate this is to begin with an entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT correspondence to…

High Energy Physics - Theory · Physics 2021-01-13 Ashton Lowenstein , Avik Chakraborty

We study a holographic theory of general spacetimes that does not rely on the existence of asymptotic regions. This theory is to be formulated in a holographic space. When a semiclassical description is applicable, the holographic space is…

High Energy Physics - Theory · Physics 2017-04-12 Yasunori Nomura , Nico Salzetta , Fabio Sanches , Sean J. Weinberg

We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along…

High Energy Physics - Theory · Physics 2018-04-11 ChunJun Cao , Sean M. Carroll
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