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We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic…

High Energy Physics - Theory · Physics 2022-11-09 Pablo Basteiro , Giuseppe Di Giulio , Johanna Erdmenger , Jonathan Karl , René Meyer , Zhuo-Yu Xian

Exact procedures that follow Dirac's constraint quantization of gauge theories are usually technically involved and often difficult to implement in practice. We overview an "effective" scheme for obtaining the leading order semiclassical…

Mathematical Physics · Physics 2015-05-14 Artur Tsobanjan

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We…

High Energy Physics - Theory · Physics 2019-05-29 Thomas Hartman , Jorrit Kruthoff , Edgar Shaghoulian , Amirhossein Tajdini

We consider ($d+n+1$)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of ($d+n$)-dimensional holographic CFTs on $AdS_d\times S^n$.…

High Energy Physics - Theory · Physics 2023-11-23 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

The holographic renormalization group (RG) is reviewed in a self-contained manner. The holographic RG is based on the idea that the radial coordinate of a space-time with asymptotically AdS geometry can be identified with the RG flow…

High Energy Physics - Theory · Physics 2009-11-07 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We study semiclassical correlation functions in Liouville field theory on a two-sphere when all operators have large conformal dimensions. In the usual approach, such computation involves solving the classical Liouville equation, which is…

High Energy Physics - Theory · Physics 2014-03-11 Daigo Honda , Shota Komatsu

We consider the problem of localizing relevant subsets of non-rigid geometric shapes given only a partial 3D query as the input. Such problems arise in several challenging tasks in 3D vision and graphics, including partial shape similarity,…

Computational Geometry · Computer Science 2019-06-17 Arianna Rampini , Irene Tallini , Maks Ovsjanikov , Alex M. Bronstein , Emanuele Rodolà

Light-front holography offers a successful first semiclassical approximation to hadronic spectroscopy and dynamics. We review its underlying assumptions, its remarkable predictions as well as attempts to go beyond the semiclassical…

High Energy Physics - Phenomenology · Physics 2020-01-13 Ruben Sandapen

Within AdS/CFT, focusing on the AdS-Rindler wedge, we show that when $N$ is large but finite, correlation functions of reconstructed bulk operators grow exponentially with bulk momentum, overwhelming the usual $1/N$ suppression. The growth…

High Energy Physics - Theory · Physics 2025-08-18 Seiji Terashima

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such…

High Energy Physics - Theory · Physics 2014-11-18 Gordon Chalmers , Koenraad Schalm

We provide a bottom-up argument to derive some known results from holographic renormalization using the classical bulk-bulk equivalence of General Relativity and Shape Dynamics, a theory with spatial conformal (Weyl) invariance. The purpose…

High Energy Physics - Theory · Physics 2018-01-18 Henrique Gomes , Sean Gryb , Tim Koslowski , Flavio Mercati , Lee Smolin

In this work we present a "modest" holographic reconstruction of the bulk geometry in asymptotically flat spacetime using the two-point correlators of boundary quantum field theory (QFT) in asymptotically flat spacetime. The boundary QFT…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Erickson Tjoa , Finnian Gray

We propose an explicitly calculable example of holography on 3-dimensional de Sitter space by providing a prescription to analytic continue a higher-spin holography on 3-dimensional anti-de Sitter space. Applying the de Sitter holography,…

High Energy Physics - Theory · Physics 2022-08-17 Heng-Yu Chen , Yasuaki Hikida

We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be…

High Energy Physics - Theory · Physics 2019-05-01 Robert de Mello Koch , Antal Jevicki , Kenta Suzuki , Junggi Yoon

Among various applications of the AdS/CFT correspondence in condensed matter physics of particular importance is the realization of the phase transition between the normal and superconducting phase in a holographic QFT. After seminal papers…

High Energy Physics - Theory · Physics 2026-03-19 Jovan Potrebić , Dragoljub Gočanin

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen

Anti-de Sitter space in five dimensions provides an exact geometrical representation of the conformal group. Remarkably, gravity in AdS$_5$ space is holographically dual to frame-independent light-front Hamiltonian theory, derived from the…

High Energy Physics - Theory · Physics 2013-09-20 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

Coordinated inference problems are being introduced as a basis for a neural network representation of the locality problem in the holographic bulk. It is argued that a type of problem originating in the "prisoners and hats" dilemma involves…

General Physics · Physics 2023-09-13 Andrei T. Patrascu

The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate…

High Energy Physics - Theory · Physics 2020-01-08 Carlos Cardona

The flat space limit of scalar bulk fields in AdS is discussed within a Lorentzian canonical quantization setup tailored to describe AdS state preparation and to extract the flat S-matrix dynamics. We discuss how the algebraic…

High Energy Physics - Theory · Physics 2025-12-22 David Berenstein , Joan Simon
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