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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

There is strong evidence that the area of any surface limits the information content of adjacent spacetime regions, at 10^(69) bits per square meter. We review the developments that have led to the recognition of this entropy bound, placing…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso

Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the…

High Energy Physics - Theory · Physics 2016-09-06 Masafumi Fukuma , Akitsugu Miwa , Kazuyoshi Takahashi

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 perform a holographic calculation of the Entanglement R\'enyi entropy $S_q(\mu,\lambda)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for…

High Energy Physics - Theory · Physics 2015-07-31 Georgios Pastras , Dimitrios Manolopoulos

We extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area…

High Energy Physics - Theory · Physics 2015-10-02 Ning Bao , ChunJun Cao , Michael Walter , Zitao Wang

We consider the situation when a globally defined four-dimensional field system is separated on two entangled sub-systems by a dynamical (random) two-dimensional surface. The reduced density matrix averaged over ensemble of random surfaces…

High Energy Physics - Theory · Physics 2015-06-03 Sergey N. Solodukhin

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

We investigate the validity of the Generalized Second Law (GSL) of thermodynamics in a $(2+1)$-dimensional holographic cosmological model with a negative cosmological constant. Adopting a horizon thermodynamics framework, we examine two…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Praveen Kumar Dhankar , Aritra Sanyal , Safiqul Islam , Farook Rahaman , Behnam Pourhassan

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

Recently, several notions of entanglement in time have emerged as a novel frontier in quantum many-body physics, quantum field theory and gravity. We propose a systematic prescription to characterize temporal entanglement in relativistic…

High Energy Physics - Theory · Physics 2025-07-29 Michal P. Heller , Fabio Ori , Alexandre Serantes

We formulate an extended holographic dark energy scenario based on a recently proposed two-parameter generalized entropic functional. Unlike constructions that phenomenologically impose modified entropy-area relations at the horizon level,…

General Relativity and Quantum Cosmology · Physics 2026-03-12 G. G. Luciano , E. N. Saridakis

We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the…

High Energy Physics - Theory · Physics 2016-08-03 Marika Taylor

Based on Landauer's principle, we provide a geometrical definition for the entropy of a given static, spherically symmetric spacetime. Considering a congruence of geodesics across a surface, one defines the entropy of a congruence as the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 J. M. Isidro , B. Koch , A. Rincon

Kovtun, Son and Starinets proposed a bound on the viscosity of any fluid in terms of its entropy density. The bound is saturated by maximally supersymmetric theories at strong coupling, but can also easily be challenged experimentally to…

High Energy Physics - Theory · Physics 2007-05-23 Andreas Karch

We note that the observable part of universe at a certain time t_P is necessarily limited, when there is a beginning of universe. We argue that an appropriate spacetime region associated with an observer from tI to t_P is the causal diamond…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Dongsu Bak

It may be a common understanding at present that, once event horizons are in thermal equilibrium, the entropy-area law holds inevitably. However, no rigorous verification is given to such a very strong universality of the law in…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Hiromi Saida

In quantum field theories defined on a spacetime with boundaries, the entanglement entropy exhibits subleading, boundary-induced corrections to the ubiquitous area law. At critical points described by conformal field theories (CFTs), and…

Strongly Correlated Electrons · Physics 2019-05-07 Clement Berthiere

We construct a generally-covariant formulation of non-equilibrium thermodynamics in General Relativity. We find covariant entropic forces arising from gradients of the entropy density, and a corresponding non-conservation of the energy…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Llorenc Espinosa-Portales , Juan Garcia-Bellido

Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space $ \Delta x \geq \chi l_{\mathrm{P}}$ with $\chi \geq 0.1$. We go further to…

High Energy Physics - Theory · Physics 2011-09-23 Yunqi Xu , Bo-Qiang Ma