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We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , M. Reza Mohammadi Mozaffar , Komeil Babaei Velni , Mohammad Sahraei

Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a…

High Energy Physics - Theory · Physics 2015-12-21 Andrei Parnachev , Napat Poovuttikul

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

We study holographic entanglement entropy and revisit thermodynamics and confinement in the dilaton-gravity system. Our analysis focuses on a solvable class of backgrounds that includes AdS and linear dilaton spacetimes as particular cases,…

High Energy Physics - Theory · Physics 2025-04-15 Sergio Barbosa , Sylvain Fichet , Eugenio Megias , Mariano Quiros

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

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

Statistical Mechanics · Physics 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

We use linear and quasi-linear perturbation theory to analyse cold dark matter models of structure formation in spatially flat models with a cosmological constant. Both a tilted spectrum of density perturbations and a significant…

Astrophysics · Physics 2015-06-24 Andrew R Liddle , David H Lyth , Pedro T P Viana , Martin White

A holographic dual description of inhomogeneous systems is discussed. Notably, finite temperature results for the entanglement entropy in both the rainbow chain and the SSD model are obtained holographically by choosing appropriate…

Strongly Correlated Electrons · Physics 2020-01-08 Ian MacCormack , Aike Liu , Masahiro Nozaki , Shinsei Ryu

We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using…

High Energy Physics - Theory · Physics 2015-11-09 John Estes , Kristan Jensen , Andy O'Bannon , Efstratios Tsatis , Timm Wrase

We consider the hard-core model on a finite square grid graph with stochastic Glauber dynamics parametrized by the inverse temperature $\beta$. We investigate how the transition between its two maximum-occupancy configurations takes place…

Probability · Mathematics 2025-04-30 Simone Baldassarri , Vanessa Jacquier , Alessandro Zocca

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We study the optical conductivity of 1+1 dimensional systems using soft wall model in the bottom up approach of AdS/CFT (anti-de Sitter/conformal field theory) duality. We find the numerical results for optical conductivity and investigate…

High Energy Physics - Theory · Physics 2016-12-01 Neha Bhatnagar , Sanjay Siwach

We explore the effects of a positive cosmological constant on astrophysical and cosmological configurations described by a polytropic equation of state. We derive the conditions for equilibrium and stability of such configurations and…

Astrophysics · Physics 2008-11-26 Andres Balaguera-Antolinez , David F. Mota , Marek Nowakowski

Standard thermodynamic treatments of quantum field theory in the presence of black-hole backgrounds reproduce the black hole entropy by usually specializing to the leading order of the heat-kernel or the high-temperature expansion. By…

High Energy Physics - Theory · Physics 2009-06-19 Horacio E. Camblong , Carlos R. Ordonez

We calculate the holographic entanglement entropy for the holographic QCD phase diagram considered in [Knaute, Yaresko, K\"ampfer (2017), arXiv:1702.06731] and explore the resulting qualitative behavior over the temperature-chemical…

High Energy Physics - Phenomenology · Physics 2017-11-08 J. Knaute , B. Kämpfer

We use the holographic proposal for calculating entanglement entropies to determine the boundary entropy of defects in strongly coupled two-dimensional conformal field theories. We study several examples including the Janus solution and…

High Energy Physics - Theory · Physics 2009-12-15 Tatsuo Azeyanagi , Andreas Karch , Tadashi Takayanagi , Ethan G. Thompson

A spatially homogeneous and anisotropic Bianchi type I universe is studied with the interacting holographic and new agegraphic scalar fields models of dark energy. Given, the framework of the anisotropic model, both the dynamics and…

General Relativity and Quantum Cosmology · Physics 2018-08-10 Hossien Hossienkhani , Ali Aghamohammadi , S. W. Rabieei , abdollah Refaei

Using a uniformization map we determine the holographic entanglement entropy for states of a Warped Conformal Field Theory dual to a generic vacuum metric in AdS$_3$ gravity with Comp\`ere--Song--Strominger boundary conditions. We point out…

High Energy Physics - Theory · Physics 2020-06-30 Stéphane Detournay , Daniel Grumiller , Max Riegler , Quentin Vandermiers

We discuss a general five-dimensional completely anisotropic holographic model with three different spatial scale factors, characterized by a Van der Waals-like phase transition between small and large black holes. A peculiar feature of the…

High Energy Physics - Theory · Physics 2020-08-26 Irina Ya. Aref'eva , Alexander Patrushev , Pavel Slepov

We introduce an integrodifferential extension of the edge-enhancing anisotropic diffusion model for image denoising. By accumulating weighted structural information on multiple scales, our model is the first to create anisotropy through…

Image and Video Processing · Electrical Eng. & Systems 2021-05-18 Tobias Alt , Joachim Weickert