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A 'holographic formula' expressing the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter(ALAdS) space has been proposed in terms of a relative functional determinant of the scalar Laplacian in the…

High Energy Physics - Theory · Physics 2009-09-28 Danilo E. Díaz

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

High Energy Physics - Theory · Physics 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

Tensor networks implementing quantum error correcting codes have recently been used to construct toy models of holographic duality explicitly realizing some of the more puzzling features of the AdS/CFT correspondence. These models reproduce…

High Energy Physics - Theory · Physics 2016-03-23 Zhao Yang , Patrick Hayden , Xiao-Liang Qi

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the…

High Energy Physics - Theory · Physics 2012-02-22 Djordje Radicevic

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

High Energy Physics - Theory · Physics 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

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 compute the bulk entanglement entropy of a massive scalar field in a Poincare AdS with the Dirichlet and Neumann boundary condition when we trace out a half space. Moreover, by taking into account the quantum back reaction to the minimal…

High Energy Physics - Theory · Physics 2016-01-25 Taiki Miyagawa , Noburo Shiba , Tadashi Takayanagi

In this work we expand on the holographic description of CFTs on de Sitter (dS) and anti-de Sitter (AdS) spacetimes and examine how violations of the unitarity bound in the boundary theory are recovered in the bulk physics. To this end we…

High Energy Physics - Theory · Physics 2012-03-21 Tomas Andrade , Christoph F. Uhlemann

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

In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the…

High Energy Physics - Theory · Physics 2024-07-31 Hiroki Kanda , Taishi Kawamoto , Yu-ki Suzuki , Tadashi Takayanagi , Kenya Tasuki , Zixia Wei

We use Euclidean path integrals to explore the set of bulk asymptotically AdS spacetimes with good CFT duals. We consider simple bottom-up models of bulk physics defined by Einstein-Hilbert gravity coupled to thin domain walls and restrict…

High Energy Physics - Theory · Physics 2019-11-18 Zicao Fu , Donald Marolf

We explore the reconstruction of bulk local states in three-dimensional flat spacetime (Flat$_3$) using states from two-dimensional Carrollian conformal field theories (CCFT$_2$), proposed as dual field theories in one lower dimension. For…

High Energy Physics - Theory · Physics 2026-03-16 Peng-Xiang Hao , Kotaro Shinmyo , Yu-ki Suzuki , Shunta Takahashi , Tadashi Takayanagi

In Lorentzian AdS/CFT there exists a mapping between local bulk operators and nonlocal CFT operators. In global AdS this mapping can be found through use of bulk equations of motion and allows the nonlocal CFT operator to be expressed as a…

High Energy Physics - Theory · Physics 2013-08-15 Stefan Leichenauer , Vladimir Rosenhaus

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

High Energy Physics - Theory · Physics 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

High Energy Physics - Theory · Physics 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

Hole-ography is a prescription relating the areas of surfaces in an AdS bulk to the differential entropy of a family of intervals in the dual CFT. In (2+1) bulk dimensions, or in higher dimensions when the bulk features a sufficient degree…

High Energy Physics - Theory · Physics 2015-09-21 Netta Engelhardt , Sebastian Fischetti

We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification…

High Energy Physics - Theory · Physics 2017-02-01 Aitor Lewkowycz , Gustavo J. Turiaci , Herman Verlinde

In this work, we study the holographic entanglement entropy in AdS$_3$ gravity with the certain mixed boundary condition, which turns out to correspond to $T\bar{T}$-deformed 2D CFTs. By employing the Chern-Simons formalism and Wilson line…

High Energy Physics - Theory · Physics 2023-05-09 Miao He , Yuan Sun

We propose a holographic entanglement negativity conjecture involving the bulk geometry, for mixed states of adjacent intervals in $(1+1)$-dimensional dual conformal field theories through the $AdS/CFT$ correspondence. The holographic…

High Energy Physics - Theory · Physics 2019-04-26 Parul Jain , Vinay Malvimat , Sayid Mondal , Gautam Sengupta

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