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A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

High Energy Physics - Theory · Physics 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can…

High Energy Physics - Theory · Physics 2020-04-10 Ning Bao , Aidan Chatwin-Davies , Benjamin E. Niehoff , Mykhaylo Usatyuk

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

We show that the entanglement wedge cross section (EWCS) can become larger than the quantum entanglement measures such as the entanglement of formation in the AdS/CFT correspondence. We then discuss a series of holographic duals to the…

High Energy Physics - Theory · Physics 2019-12-30 Koji Umemoto

We identify a non-negative and upper-bounded entanglement signal in holography which is defined as a combination of entanglement wedge cross sections (EWCS) for a tripartite mixed state $ABE$: $\mathrm{EI}_{\Delta}(A:B|E) =…

High Energy Physics - Theory · Physics 2025-12-29 Xin-Xiang Ju , Wen-Bin Pan , Ya-Wen Sun , Yang Zhao

Recently, a codimension two holography called wedge holography is proposed as a generalization of AdS/CFT. It is conjectured that a gravitational theory in $d+1$ dimensional wedge spacetime is dual to a $d-1$ dimensional CFT on the corner…

High Energy Physics - Theory · Physics 2021-02-24 Rong-Xin Miao

In the context of the AdS$_3$/CFT$_2$, the boundary causal development and the entanglement wedge of any boundary spacelike interval can be mapped to a thermal CFT$_2$ and a Rindler $\widetilde{\text{AdS}_3}$ respectively via certain…

High Energy Physics - Theory · Physics 2025-06-25 Qiang Wen , Mingshuai Xu , Haocheng Zhong

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

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

High Energy Physics - Theory · Physics 2017-05-30 Sebastian Fischetti , Toby Wiseman

We present a new method of deriving the geometry of entanglement wedges in holography directly from conformal field theories (CFTs). We analyze an information metric called the Bures metric of reduced density matrices for locally excited…

High Energy Physics - Theory · Physics 2019-12-04 Yuki Suzuki , Tadashi Takayanagi , Koji Umemoto

Exponential regularization of orthogonal and Anti-de Sitter (AdS) space is presented based on noncommutative geometry. We show that an adequately adopted noncommutative deformation of geometry makes the holography of higher dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang

We use the framework of generalized entanglement wedges to revisit the connected wedge theorem (CWT). This construction identifies an entanglement wedge associated for any bulk region and allows us to rephrase the CWT in terms of the…

High Energy Physics - Theory · Physics 2026-04-27 Athira Arayath , Sabrina Pasterski

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

High Energy Physics - Theory · Physics 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of the recently introduced $Q$-correlation and $R$-correlation, $E_Q$ and $E_R$. We…

High Energy Physics - Theory · Physics 2020-02-19 Joshua Levin , Oliver DeWolfe , Graeme Smith

We introduce a quantum notion of parallel transport between subsystems of a quantum state whose holonomies characterize the structure of entanglement. In AdS/CFT, entanglement holonomies are reflected in the bulk spacetime connection. When…

High Energy Physics - Theory · Physics 2018-07-13 Bartlomiej Czech , Lampros Lamprou , Leonard Susskind

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

We introduce a simple geometrical construction similar to covariant holographic entanglement entropy but with the addition of a new term proportional to boundary region volume. This new procedure has properties strongly resembling classical…

High Energy Physics - Theory · Physics 2019-05-10 Sean J. Weinberg

Following the work of [2008.03319], we define a generally covariant max-entanglement wedge of a boundary region $B$, which we conjecture to be the bulk region reconstructible from $B$. We similarly define a covariant min-entanglement wedge,…

High Energy Physics - Theory · Physics 2024-06-05 Chris Akers , Adam Levine , Geoff Penington , Elizabeth Wildenhain

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