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We use holography to examine the response of interacting quantum fields to the appearance of closed timelike curves in a dynamically evolving background that initially does not contain them. For this purpose, we study a family of…

High Energy Physics - Theory · Physics 2022-04-05 Roberto Emparan , Marija Tomašević

These are course notes for the 'Introduction to holography' Master level course at University of Cologne. The goal of the course is to give a pedogogical introduction to holography. Holography is a popular approach to quantum gravity, in…

High Energy Physics - Theory · Physics 2026-03-06 Nele Callebaut

We examine the bulk reconstruction in the AdS/CFT correspondence. We demonstrate that the subregion duality fails to hold, highlighting discrepancies between operators in causal wedge reconstruction and those in global reconstruction at the…

High Energy Physics - Theory · Physics 2026-04-23 Sotaro Sugishita , Seiji Terashima

According to the holographic principle, the information content assigned to a gravitational region is processed by its lower dimensional boundary. As an example setup compatible with this principle, the AdS/CFT correspondence relies on the…

High Energy Physics - Theory · Physics 2024-01-23 Abram Akal

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which…

High Energy Physics - Theory · Physics 2017-07-05 Matthew Heydeman , Matilde Marcolli , Ingmar Saberi , Bogdan Stoica

In this paper, we introduce the Freelance Holography Program, an extension of the AdS/CFT correspondence within the saddle-point approximation that opens several novel directions. This framework generalizes holography beyond the asymptotic…

High Energy Physics - Theory · Physics 2025-09-26 Vahid Taghiloo

The Swampland Program aims to delineate the space of consistent low-energy effective field theories (EFTs) that admit a UV completion in quantum gravity from those that do not. In parallel, holography, and particularly the AdS/CFT…

High Energy Physics - Theory · Physics 2026-02-03 Sudhaker Upadhyay , Alexander Reshetnyak , Pavel Moshin , Ricardo Castro

One of the key issues in holography is going beyond $\mathrm{AdS}$ and defining quantum gravity in spacetimes with a null boundary. Recent examples of this type involve linear dilaton asymptotics and are related to the $T \overline{T}$…

High Energy Physics - Theory · Physics 2025-07-01 Christian Ferko , Savdeep Sethi

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or…

High Energy Physics - Theory · Physics 2013-05-29 Tadashi Takayanagi

We present a version of holographic correspondence where bulk solutions with sources localized on the holographic screen are the key objects of interest, and not bulk solutions defined by their boundary values on the screen. We can use this…

High Energy Physics - Theory · Physics 2020-04-01 Budhaditya Bhattacharjee , Chethan Krishnan

We examine a stationary but non-static asymptotically AdS_3 spacetime with two causally connected conformal boundaries, each of which is a ``null cylinder'', namely a cylinder with a null direction identified. This spacetime arises from…

High Energy Physics - Theory · Physics 2009-11-10 Vijay Balasubramanian , Asad Naqvi , Joan Simon

Recently it has been proposed that the Bekenstein-Hawking formula for the entropy of spacetime horizons has a larger significance as the leading contribution to the entanglement entropy of general spacetime regions, in the underlying…

High Energy Physics - Theory · Physics 2014-08-27 Jason Wien

We describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi

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

We propose a reconstruction of general bulk surfaces in any dimension in terms of the differential entropy in the boundary field theory. In particular, we extend the proof of Headrick et al. to calculate the area of a general class of…

High Energy Physics - Theory · Physics 2014-11-18 Bartlomiej Czech , Xi Dong , James Sully

Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

We provide a procedure to determine if a given nonlocal operator in a large N holographic CFT is dual to a local bulk operator on the geometry associated with a particular code subspace of the CFT. This procedure does not presuppose…

High Energy Physics - Theory · Physics 2017-07-19 Fabio Sanches , Sean J. Weinberg

If two parties share sufficient entanglement, they are able to implement any channel on a shared bipartite state via non-local quantum computation -- a protocol consisting of local operations and a single simultaneous round of quantum…

Quantum Physics · Physics 2022-10-26 Kfir Dolev , Sam Cree

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

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