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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

Discovered as an apparent pattern, a universal relation between geometry and information called the holographic principle has yet to be explained. This relation is unfolded in the present paper. As it is demonstrated there, the origin of…

General Physics · Physics 2024-07-23 Arkady Bolotin

This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total…

Quantum Physics · Physics 2024-10-08 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

We numerically evaluate, for slab entangling geometries, the mutual information and the holographic entanglement entropy between strongly interacting fields in different spatial regions for two different conformal holographic models at…

High Energy Physics - Theory · Physics 2025-09-18 Gustavo de Oliveira , Ronaldo F. Costa , Lucas C. Celeri , Romulo Rougemont

While the quantum mutual information is a fundamental measure of quantum information, it is only defined for spacelike-separated quantum systems. Such a limitation is not present in the theory of classical information, where the mutual…

Quantum Physics · Physics 2024-10-04 James Fullwood , Zhen Wu , Arthur J. Parzygnat , Vlatko Vedral

Employing the world line spinning particle picture we discuss the appearance of several different `gauges' which we use to gain a deeper explanation of the Collective/Gravity identification. We discuss transformations and algebraic…

High Energy Physics - Theory · Physics 2015-06-22 Robert de Mello Koch , Antal Jevicki , Joao P. Rodrigues , Junggi Yoon

The "curse of dimensionality" is a well-known problem in pattern recognition. A widely used approach to tackling the problem is a group of subspace methods, where the original features are projected onto a new space. The lower dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Orod Razeghi , Guoping Qiu

We present a simple prescription for computing conformal blocks and correlation functions holographically in AdS$_3$ in terms of Wilson lines merging at a bulk vertex. This is shown to reproduce global conformal blocks and heavy-light…

High Energy Physics - Theory · Physics 2016-09-21 Mert Besken , Ashwin Hegde , Eliot Hijano , Per Kraus

We give a brief expository discussion on the holographic correspondence of correlation functions in the large J limit of AdS/CFT conjecture. We first review our proposals on the interpretation of the so-called GKPW relation in the large J…

High Energy Physics - Theory · Physics 2008-11-26 Tamiaki Yoneya

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

Known holographic dictionaries, especially AdS/CFT, rely on symmetry matching between the bulk and the boundary. We take a step toward a holographic dictionary with no symmetry requirement and without assuming the geometry being…

High Energy Physics - Theory · Physics 2026-02-25 Tamra Nebabu , Xiao-Liang Qi , Haifeng Tang , Huaijin Wang

In this paper, we consider holomorphic mappings between real hypersurfaces in different dimensional complex spaces. We give a number of conditions that imply that such mappings are transversal to the target hypersurface at most points.

Complex Variables · Mathematics 2007-05-23 M. S. Baouendi , Peter Ebenfelt , Linda P. Rothschild

In this paper, we will compute the holographic complexity (dual to a volume in AdS), holographic fidelity susceptibility and the holographic entanglement entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is dual…

High Energy Physics - Theory · Physics 2018-06-07 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

This paper extends our previous work (arXiv:2504.14313) of a single timelike subregion to two, in the framework of AdS$_3$-Vaidya holography. We confirm the positivity of timelike mutual information and the statement of weak monotonicity…

High Energy Physics - Theory · Physics 2026-04-14 Gaurav Katoch , Debajyoti Sarkar , Bhim Sen

In this work, we extend the study of soft limits to (Anti) de Sitter spaces, investigating the analytic structure of holographic gluon correlators as part of a broader effort to reveal new symmetries and fundamental structures in gauge…

High Energy Physics - Theory · Physics 2024-11-22 Soner Albayrak , Savan Kharel

The issue of holographic principle in the PP-wave limit of the AdS/CFT correspondence is discussed, in the hope of clarifying some confusions in the literature. We show that, in the plane-wave limit, the relation between the partition…

High Energy Physics - Theory · Physics 2008-11-26 Tamiaki Yoneya

We propose a holographic dual for (pseudo-)conformal cosmological scenario, with a scalar field that forms a moving domain wall in adS_5. The domain wall separates two vacua with unequal energy densities. Unlike in the existing…

High Energy Physics - Theory · Physics 2018-05-09 M. Libanov , V. Rubakov , S. Sibiryakov

In this paper we have studied the effect of deformation and temperature on holographic entanglement entropy and mutual information between two subsystems in a deformed field theory at finite temperature. The $T{\overline{T}}$ deformation…

High Energy Physics - Theory · Physics 2023-04-25 Hajar Ebrahim , Monireh Ahmadpour

In this paper we resolve a contradiction posed in a recent paper by Horowitz and Hubeny. The contradiction concerns the way small objects in AdS space are described in the holographic dual CFT description.

High Energy Physics - Theory · Physics 2007-05-23 V. Hubeny , L. Susskind , N. Toumbas

We correct claims about lower bounds on mutual information (MI) between real-valued random variables made in A. Kraskov {\it et al.}, Phys. Rev. E {\bf 69}, 066138 (2004). We show that non-trivial lower bounds on MI in terms of linear…

Data Analysis, Statistics and Probability · Physics 2013-05-29 David V. Foster , Peter Grassberger