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We develop the representation of local bulk fields in AdS by non-local operators on the boundary, working in the semiclassical limit and using AdS_2 as our main example. In global coordinates we show that the boundary operator has support…

High Energy Physics - Theory · Physics 2016-09-06 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of…

High Energy Physics - Theory · Physics 2018-12-04 Jonathan Harper , Matthew Headrick , Andrew Rolph

A notion of localization of information within quantum subsystems plays a key role in describing the physics of quantum systems, and in particular is a prerequisite for discussing important concepts such as entanglement and information…

High Energy Physics - Theory · Physics 2017-10-25 William Donnelly , Steven B. Giddings

We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We extend this dictionary…

High Energy Physics - Theory · Physics 2023-09-08 Christoph Chiaffrino , Talha Ersoy , Olaf Hohm

We extend all known area inequalities obeyed by Ryu-Takayanagi surfaces of AdS boundary regions -- the holographic entropy cone -- to static generalized entanglement wedges of bulk regions in arbitrary spacetimes. The generalized…

High Energy Physics - Theory · Physics 2025-02-07 Raphael Bousso , Sami Kaya

To consider the entanglement between the spatial region $A$ and its complement in a QFT, we need to assign a Hilbert space $\mathcal{H}_A$ to the region, by making a certain choice on the boundary $\partial A$. We argue that a small…

High Energy Physics - Theory · Physics 2015-05-20 Kantaro Ohmori , Yuji Tachikawa

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

We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime in 2+1 dimensions, with an end of the world (ETW) brane behind the horizon. We allow for the possibility of intrinsic gravitational…

High Energy Physics - Theory · Physics 2024-04-03 Sergio E. Aguilar-Gutierrez , Ben Craps , Juan Hernandez , Mikhail Khramtsov , Maria Knysh , Ashish Shukla

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2011-02-16 Samuel Bilson

Localized bulk excitations in AdS/CFT are produced by operators which modify the pattern of entanglement in the boundary state. We show that simple models--consisting of entanglement swapping operators acting on a qubit system or a free…

High Energy Physics - Theory · Physics 2017-04-05 William R. Kelly

In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

High Energy Physics - Theory · Physics 2008-12-25 Georgios Michalogiorgakis

Causal holographic information [1] is a variant of the Ryu-Takayanagi proposal for the entanglement entropy of a spatial region in the context of AdS/CFT, but with the bulk surface defined by causality rather than extremality. We…

High Energy Physics - Theory · Physics 2014-12-18 Ben Freivogel , Benjamin Mosk

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings

A long-standing and intriguing question is: does the holographic principle apply to cosmologies like de Sitter spacetime? In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a…

High Energy Physics - Theory · Physics 2023-07-18 Taishi Kawamoto , Shan-Ming Ruan , Yu-ki Suzuki , Tadashi Takayanagi

The interplay of geometrical and topological entanglement in semiflexible knotted polymer rings confined inside a spherical cavity is investigated using advanced numerical methods. By using stringent and robust algorithms for locating…

Soft Condensed Matter · Physics 2011-11-15 Luca Tubiana , Enzo Orlandini , Cristian Micheletti

We find out the smearing/ transfer functions that relate a local bulk operator with its boundary values at a cut-off surface located at $z=z_0$ of the AdS Poincar\'{e} patch. We compare these results with de Sitter counterparts and comment…

High Energy Physics - Theory · Physics 2014-10-10 Debajyoti Sarkar

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

Quantum Physics · Physics 2007-05-23 Rolando D. Somma

Recent advances in holography and quantum gravity have shown that CFTs with classical gravity duals can implement nonlocal quantum computation protocols that appear local from the bulk perspective. We examine the extent to which current…

High Energy Physics - Theory · Physics 2025-12-10 Elena Cáceres , Rafael Carrasco , Juan F. Pedraza

Products of large-N conformal field theories coupled by multi-trace interactions in diverse dimensions are used to define quantum multi-gravity (multi-string theory) on a union of (asymptotically) AdS spaces. One-loop effects generate a…

High Energy Physics - Theory · Physics 2009-02-16 Elias Kiritsis , Vasilis Niarchos