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We compute holographic complexity for the non-supersymmetric Janus deformation of AdS$_5$ according to the volume conjecture. The result is characterized by a power-law ultraviolet divergence. When a ball-shaped region located around the…

High Energy Physics - Theory · Physics 2021-11-10 Stefano Baiguera , Sara Bonansea , Kristian Toccacelo

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

We propose a framework for preparing quantum states with a holographic entanglement structure, in the sense that the entanglement entropies are governed by minimal surfaces in a chosen bulk geometry. We refer to such entropies as…

Quantum Physics · Physics 2026-01-30 Jonathan Jeffrey , Lucien Gandarias , Monika Schleier-Smith , Brian Swingle

Motivated by the understanding of holography as realized in tensor networks, we develop a bulk procedure that can be interpreted as generating a sequence of coarse-grained holographic states. The coarse-graining procedure involves…

High Energy Physics - Theory · Physics 2020-10-07 Chitraang Murdia , Yasunori Nomura , Pratik Rath

The holographic principle suggests that the Hilbert space of quantum gravity is locally finite-dimensional. Motivated by this point-of-view, and its application to the observable Universe, we introduce a set of numerical and conceptual…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Oliver Friedrich , Ashmeet Singh , Olivier Doré

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

We propose a new way to understand the volume of certain subregions in the bulk of AdS spacetime by relating it to an algebraic quantity known as the index of inclusion. This index heuristically measures the relative size of a subalgebra…

High Energy Physics - Theory · Physics 2025-08-04 Samuel Leutheusser , Hong Liu

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we…

High Energy Physics - Theory · Physics 2019-07-24 Chitraang Murdia , Yasunori Nomura , Pratik Rath , Nico Salzetta

The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an…

High Energy Physics - Theory · Physics 2025-02-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou

Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the…

High Energy Physics - Theory · Physics 2025-08-19 Federico Capone , Andy O'Bannon , Ronnie Rodgers , Somyadip Thakur

The holographic bit threads are an insightful tool to investigate the holographic entanglement entropy and other quantities related to the bipartite entanglement in AdS/CFT. We mainly explore the geodesic bit threads in various static…

High Energy Physics - Theory · Physics 2024-09-04 Stefania Caggioli , Francesco Gentile , Domenico Seminara , Erik Tonni

The holographic principle asserts that the complete description of the interior of a sphere is a theory which not only lives on the surface of the sphere, but also has A/4 binary degrees of freedom. In this context we revisit the question…

High Energy Physics - Theory · Physics 2014-06-04 Vladimir Rosenhaus

To gain insight into how bulk locality emerges from the holographic conformal field theory, we reformulate the bulk to boundary map in as local a way as possible. In previous work, we carried out this program for Lorentzian AdS, and showed…

High Energy Physics - Theory · Physics 2014-11-18 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

In this paper, we propose a computational framework for 3D volume reconstruction from 2D histological slices using registration algorithms in feature space. To improve the quality of reconstructed 3D volume, first, intensity variations in…

Computer Vision and Pattern Recognition · Computer Science 2009-07-21 Ulas Bagci , Li Bai

We have derived an analytical formulation for estimating the volume of geometries enclosed by implicitly defined surfaces. The novelty of this work is due to two aspects. First we provide a general analytical formulation for all…

Numerical Analysis · Mathematics 2019-05-01 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

We propose a free falling particle in an AdS space as a holographic model of local quench. Local quenches are triggered by local excitations in a given quantum system. We calculate the time-evolution of holographic entanglement entropy. We…

High Energy Physics - Theory · Physics 2015-06-15 Masahiro Nozaki , Tokiro Numasawa , Tadashi Takayanagi

The holographic principle and the thermodynamics of de Sitter space suggest that the total number of fundamental degrees of freedom associated with any finite-volume region of space may be finite. The naive picture of a short distance…

High Energy Physics - Theory · Physics 2009-11-11 Federico Piazza

In this paper, we study the holographic R\'enyi entropy of a large interval on a circle at high temperature for the two-dimensional conformal field theory (CFT) dual to pure AdS$_3$ gravity. In the field theory, the R\'enyi entropy is…

High Energy Physics - Theory · Physics 2015-11-11 Bin Chen , Jie-qiang Wu

According to the holographic principle, the information content assigned to a gravitational region is processed by its lower dimensional boundary. As an example setup compatible with this principle, the AdS/CFT correspondence relies on the…

High Energy Physics - Theory · Physics 2024-01-23 Abram Akal