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We study the CV, CA, and CV2.0 approaches to holographic complexity in $(d+1)$-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In…

High Energy Physics - Theory · Physics 2022-06-08 Eivind Jørstad , Robert C. Myers , Shan-Ming Ruan

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

Recently holographic prescriptions are proposed to compute quantum complexity of a given state in the boundary theory. A specific proposal known as `holographic subregion complexity' is supposed to calculate the the complexity of a reduced…

High Energy Physics - Theory · Physics 2017-10-25 Elaheh Bakhshaei , Ali Mollabashi , Ahmad Shirzad

We compute the disruption of mutual information between the hemispherical subsystems on the left and right CFT$s$ of a Thermofield Double state described by a Kerr geometry in $AdS_4$ due to shockwaves along the equatorial plane. The…

High Energy Physics - Theory · Physics 2023-02-15 Vinay Malvimat , Rohan R. Poojary

Directionality in a holographic screen may be useful for projecting images to be seen in complete horizontal parallax. The continuous sequence of views from an object may be transferred from the object and enlarged at the screen giving the…

Optics · Physics 2008-05-08 Jose J. Lunazzi

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

We study the divergent terms and the finite term in the expansion of the holographic entanglement entropy as the ultraviolet cutoff vanishes for smooth spatial regions having arbitrary shape, when the gravitational background is a four…

High Energy Physics - Theory · Physics 2020-03-05 Giacomo Cavini , Domenico Seminara , Jacopo Sisti , Erik Tonni

We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2+1 dimensions and the particle-hole symmetric insulator in 1+1 dimensions in terms of massive Dirac fermions. Integrating out the massive…

High Energy Physics - Theory · Physics 2018-11-27 Andreas Karch , Joseph Maciejko , Tadashi Takayanagi

The hypergeometric distributions have many important applications, but they have not had sufficient attention in information theory. Hypergeometric distributions can be approximated by binomial distributions or Poisson distributions. In…

Probability · Mathematics 2020-02-11 Peter Harremoës , František Matúš

The purpose of this article is to show a second main theorem with the explicit truncation level for holomorphic mappings of $ \mathbb{C} $ (or of a compact Riemann surface) into a compact complex manifold sharing divisors in subgeneral…

Complex Variables · Mathematics 2013-01-30 Do Duc Thai , Vu Duc Viet

Recently, it has been proposed by Kempf a generalization of the Shannon sampling theory to the physics of curved spacetimes. With the aim of exploring the possible links between Holography and Information Theory we argue about the…

High Energy Physics - Theory · Physics 2007-05-23 L. Alejandro Correa-Borbonet

We construct a gravitational dual of the pseudo-conformal universe, a proposed alternative to inflation in which a conformal field theory in nearly flat space develops a time dependent vacuum expectation value. Constructing this dual…

High Energy Physics - Theory · Physics 2015-02-02 Kurt Hinterbichler , James Stokes , Mark Trodden

A holographic time band is a causal incomplete boundary spacetime subregion whose causal wedge is a causal complete bulk spacetime subregion. In an AdS$_3$ spacetime with a specifically modified IR geometry, its causal wedge coincides with…

High Energy Physics - Theory · Physics 2025-04-21 Xin-Xiang Ju , Bo-Hao Liu , Ya-Wen Sun , Yang Zhao

We propose a new version of holographic principle. This proposal extends the holographic principle based on the lightsheet to the one constraining the entropy passing through bulk hypersurface of timelike geodesics by the boundary area…

High Energy Physics - Theory · Physics 2009-11-10 Dongsu Bak

By combining a bound on the absolute value of the difference of mutual information between two joint probablity distributions with a fixed variational distance, and a bound on the probability of a maximal deviation in variational distance…

Information Theory · Computer Science 2013-01-29 A. G. Stefani , J. B. Huber , C. Jardin , H. Sticht

In (d+1) dimensional Multiscale Entanglement Renormalization Ansatz (MERA) networks, tensors are connected so as to reproduce the discrete, (d + 2) holographic geometry of Anti de Sitter space (AdSd+2) with the original system lying at the…

Quantum Physics · Physics 2011-10-07 Javier Molina-Vilaplana , Pasquale Sodano

It has been persuasively argued that the number of the effective degrees of freedom of a macroscopic system is proportional to its area rather than to its volume. This entails interesting consequences for cosmology. Here we present a model…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Diego Pavon

Moving micron scale objects are strongly coupled to each other by hydrodynamic interactions. The strength of this coupling decays as the inverse particle separation when the two objects are sufficiently far apart. It has been recently…

Soft Condensed Matter · Physics 2011-03-02 R. Di Leonardo , E. Cammarota , G. Bolognesi

We introduce a description of a minimal surface in a space with boundary, as the world-hypersurface that the entangling surface traces. It does so by evolving from the boundary to the interior of the bulk under an appropriate geometric…

High Energy Physics - Theory · Physics 2020-04-22 Dimitrios Katsinis , Ioannis Mitsoulas , Georgios Pastras

Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N = 4 supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2015-09-23 Paul M. Chesler , Laurence G. Yaffe
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