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We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement…

High Energy Physics - Theory · Physics 2015-06-17 Arpan Bhattacharyya , Menika Sharma , Aninda Sinha

In AdS/CFT, the fine grained entropy of a boundary region is dual to the area of an extremal surface X in the bulk. It has been proposed that the area of a certain 'causal surface' C - i.e. the 'causal holographic information' (CHI) -…

High Energy Physics - Theory · Physics 2017-07-25 Netta Engelhardt , Aron C. Wall

In a recent paper, a novel surface growth approach for reconstructing bulk geometry and matter fields was proposed, it was shown that this picture can be explicitly realized by the one-shot entanglement distillation tensor network and the…

High Energy Physics - Theory · Physics 2022-08-17 Chao Yu , Fang Zhong Chen , Yi-Yu Lin , Jia-Rui Sun , Yuan Sun

In this paper, we extend the surface growth scheme in AdS spacetime with a boundary in the AdS/BCFT correspondence. We show that the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces…

High Energy Physics - Theory · Physics 2024-07-16 Xihao Fang , Fangzhong Chen , Jiarui Sun

We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT. This, however, is just one of…

High Energy Physics - Theory · Physics 2015-04-16 Andreas Karch , Christoph F. Uhlemann

Motivated by the HRRT-formula for holographic entanglement entropy, we consider the following question: what are the position and the surface area of extremal surfaces in a perturbed geometry, given their anchor on the asymptotic boundary?…

High Energy Physics - Theory · Physics 2019-04-03 Benjamin Mosk

We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors, we…

High Energy Physics - Theory · Physics 2017-02-01 ChunJun Cao , Sean M. Carroll , Spyridon Michalakis

We provide a background-independent formulation of the holographic principle. It permits the construction of embedded hypersurfaces (screens) on which the entire bulk information can be stored at a density of no more than one bit per Planck…

High Energy Physics - Theory · Physics 2009-10-31 Raphael Bousso

Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of the emergence of spacetime. We propose that the bulk…

High Energy Physics - Theory · Physics 2025-04-02 Michal P. Heller , Fabio Ori , Alexandre Serantes

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

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

An alternative derivation of generalized gravitational entropy associated to co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to the Jacobson-Myers 'Hamiltonian' method and it does not require computations on…

High Energy Physics - Theory · Physics 2014-07-08 Dmitri Fursaev

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

We study one-loop bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even dimensions. In four dimensions, we…

High Energy Physics - Theory · Physics 2021-07-21 Zhong-Ying Fan

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter…

High Energy Physics - Theory · Physics 2016-09-21 Marika Taylor , William Woodhead

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at…

High Energy Physics - Theory · Physics 2015-06-22 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing…

High Energy Physics - Theory · Physics 2012-06-15 Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

We introduce a unifying framework for the construction of holographic tensor networks, based on the theory of hyperbolic buildings. The underlying dualities relate a bulk space to a boundary which can be homeomorphic to a sphere, but also…

High Energy Physics - Theory · Physics 2022-11-23 Elliott Gesteau , Matilde Marcolli , Sarthak Parikh

We generalize the Pastawski-Yoshida-Harlow-Preskill (HaPPY) holographic quantum error-correcting code to provide a toy model for bulk gauge fields or linearized gravitons. The key new elements are the introduction of degrees of freedom on…

High Energy Physics - Theory · Physics 2017-05-24 William Donnelly , Ben Michel , Donald Marolf , Jason Wien