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The phase structure of holographic entanglement entropy is studied in massive gravity for the quantum systems with finite and infinite volumes, which in the bulk is dual to calculate the minimal surface area for a black hole and black brane…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Xiao-Xiong Zeng , Hongbao Zhang , Li-Fang Li

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

High Energy Physics - Theory · Physics 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

High Energy Physics - Theory · Physics 2021-07-07 D. Giataganas , N. Tetradis

I show that holographic calculations of entanglement entropy in the context of AdS bulk space modified by wormhole geometries provide the expected entanglement magnitude. This arises in the context of string theory by means of additional…

High Energy Physics - Theory · Physics 2024-10-14 Andrei T. Patrascu

The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in…

High Energy Physics - Theory · Physics 2015-06-18 Matthew Headrick

In this paper, we introduce two bounds which we call the Upper Differential Entropy and the Lower Differential Entropy for an infinite family of intervals(strips) in quantum field theory. The two bounds are equal provided that the theory is…

High Energy Physics - Theory · Physics 2014-10-01 Bin Chen , Jiang Long

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

The holographic interpretation of the hydrodynamic entropy current is developed for the case of hydrodynamics with a conserved charge. This is carried out within a framework developed in earlier work, which showed how to associate entropy…

High Energy Physics - Theory · Physics 2013-08-26 Grzegorz Plewa , Michal Spalinski

The (F1,D2,D8) brane configuration with $Lif_4^{(2)}\times {S}^1\times S^5$ geometry is a known Lifshitz vacua supported by massive $B_{\mu\nu}$ field in type IIA theory. This system allows exact IR excitations which couple to massless…

High Energy Physics - Theory · Physics 2021-03-04 Sabyasachi Maulik , Harvendra Singh

In gravitational theories with boundaries, diffeomorphisms can become physical and acquire a non-vanishing Noether charge. Using the covariant phase space formalism, on shell of the gravitational constraints, the latter localizes on…

High Energy Physics - Theory · Physics 2025-08-11 Luca Ciambelli , Jerzy Kowalski-Glikman , Ludovic Varrin

The hypothesis of low entropy in the initial state of the universe usually explains the observed entropy increase is in only one time direction: the thermodynamic arrow of time. The Hamiltonian formalism is commonly used in the context of…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Jackie C. H. Liu

We study the entanglement entropy associated with a holographic RG flow from $\textrm{AdS}_7$ to $\textrm{AdS}_{4} \times \mathbb{H}_3$, where $\mathbb{H}_3$ is a $3$-dimensional hyperbolic manifold with curvature $\kappa$. The dual…

High Energy Physics - Theory · Physics 2024-08-22 José de-la-Cruz-Moreno , James T. Liu , Leopoldo A. Pando Zayas

In the context of string theory, it is possible to explain the microscopic origin of the entropy of certain black holes in terms of D-brane systems. To date, most of the cases studied in detail refer to extremal (supersymmetric) or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ulf H. Danielsson , Alberto Guijosa , Martin Kruczenski

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These…

High Energy Physics - Theory · Physics 2015-03-25 Arjun Bagchi , Rudranil Basu , Daniel Grumiller , Max Riegler

We study the low-energy corrections to the holographic entanglement entropy (HEE) in the boundary CFT by perturbing the bulk geometry up to second order excitations. Focusing on the case that the boundary subsystem is a strip, we show that…

High Energy Physics - Theory · Physics 2018-01-30 Song He , Jia-Rui Sun , Hai-Qing Zhang

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic…

High Energy Physics - Theory · Physics 2015-09-15 Emory Brown , Ning Bao , Sepehr Nezami

In this paper we study the propagation of entanglement entropy after a global instantaneous quench on the CFT boundary of AdS bulk. We consider the Gauss-Bonnet model as a higher curvature gravity model for which we correct the RT(HRT)…

High Energy Physics - Theory · Physics 2018-12-14 Hossein Ghaffarnejad , Emad Yaraie , Mohammad Farsam

We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the…

High Energy Physics - Theory · Physics 2015-06-15 Aitor Lewkowycz , Juan Maldacena

We show that the entropy resulting from the counting of microstates of non extremal black holes using field theory duals of string theories can be interpreted as arising from entanglement. The conditions for making such an interpretation…

High Energy Physics - Theory · Physics 2009-11-11 Ram Brustein , Martin B. Einhorn , Amos Yarom
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