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We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

We propose that the definition of holographic subregion complexity (HSC) needs a slight modification for supergravity solutions with warped anti-de Sitter (AdS) factors. Such warp factors can arise due to the nontrivial dilaton profile, for…

High Energy Physics - Theory · Physics 2020-08-06 Sunandan Gangopadhyay , Dharmesh Jain , Ashis Saha

We propose a holographic entanglement entropy prescription for general states and regions in two models of holography beyond AdS/CFT known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. Flat$_3$/BMSFT is a candidate of holography for asymptotically…

High Energy Physics - Theory · Physics 2020-12-15 Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong

It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via…

High Energy Physics - Theory · Physics 2016-08-17 M. R. Mohammadi Mozaffar , A. Mollabashi , M. M. Sheikh-Jabbari , M. H. Vahidinia

We examine general features of causal wedges in asymptotically AdS spacetimes and show that in a wide variety of cases they have non-trivial topology. We also prove some general results regarding minimal area surfaces on the causal wedge…

High Energy Physics - Theory · Physics 2013-10-23 Veronika E. Hubeny , Mukund Rangamani , Erik Tonni

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal…

High Energy Physics - Theory · Physics 2015-11-10 Felix M. Haehl

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

High Energy Physics - Theory · Physics 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

Holographic tensor networks model AdS/CFT, but so far they have been limited by involving only systems that are very different from gravity. Unfortunately, we cannot straightforwardly discretize gravity to incorporate it, because that would…

High Energy Physics - Theory · Physics 2024-11-12 Chris Akers , Ronak M. Soni , Annie Y. Wei

In the context of the AdS/CFT correspondence, we propose a general scheme for reconstructing bulk geometric quantities in a static pure AdS background using the partial entanglement entropy (PEE), a measure of the entanglement structure on…

High Energy Physics - Theory · Physics 2026-03-19 Jiong Lin , Yizhou Lu , Qiang Wen , Yiwei Zhong

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the…

High Energy Physics - Theory · Physics 2015-06-15 Aitor Lewkowycz , Juan Maldacena

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

This paper investigates the holographic network connecting different CFTs, modeled by Gauss-Bonnet gravity with varying couplings across different bulk branches. By applying the holographic Noether's theorem, we prove that the junction…

High Energy Physics - Theory · Physics 2026-05-29 Yu Guo , Rong-Xin Miao

Entanglement plays a pervasive role nowadays throughout quantum information science, and at the same time provides a bridging notion between quantum information science and fields as diverse as condensed-matter theory, quantum gravity, and…

Quantum Physics · Physics 2007-05-23 Lorenza Viola , Howard Barnum

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

We give a scheme to geometrize the partial entanglement entropy (PEE) for holographic CFT in the context of AdS/CFT. More explicitly, given a point $\textbf{x}$ we geometrize the two-point PEEs between $\textbf{x}$ and any other points in…

High Energy Physics - Theory · Physics 2024-03-11 Jiong Lin , Yizhou Lu , Qiang Wen

We introduce a quantity, called pseudo entropy, as a generalization of entanglement entropy via post-selection. In the AdS/CFT correspondence, this quantity is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which…

High Energy Physics - Theory · Physics 2021-01-27 Yoshifumi Nakata , Tadashi Takayanagi , Yusuke Taki , Kotaro Tamaoka , Zixia Wei

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

Subregion duality in AdS/CFT implies certain constraints on the geometry: entanglement wedges must contain causal wedges, and nested boundary regions must have nested entanglement wedges. We elucidate the logical connections between these…

High Energy Physics - Theory · Physics 2016-11-18 Chris Akers , Jason Koeller , Stefan Leichenauer , Adam Levine