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In this note we clarify the dictionary between pure quantum gravity on the bulk in the presence of a cosmological constant and a CFT on the boundary. We show for instance that there is a general correspondence between quantum gravity…

High Energy Physics - Theory · Physics 2008-04-18 Laurent Freidel

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

A puzzling aspect of the AdS/CFT correspondence is that a single bulk operator can be mapped to multiple different boundary operators, or precursors. By improving upon a recent model of Mintun, Polchinski, and Rosenhaus, we demonstrate…

High Energy Physics - Theory · Physics 2016-05-25 Ben Freivogel , Robert A. Jefferson , Laurens Kabir

We present a general discussion of the properties of three dimensional CFT duals to the AdS string theory vacua coming from type IIB Calabi-Yau flux compactifications. Both KKLT and Large Volume Scenario (LVS) minima are considered. In both…

High Energy Physics - Theory · Physics 2015-08-28 Senarath de Alwis , Rajesh Kumar Gupta , Fernando Quevedo , Roberto Valandro

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 study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in…

High Energy Physics - Theory · Physics 2009-07-30 David A. Lowe

Working in the context of the proposed duality between 3D higher spin gravity and 2D W_N minimal model CFTs, we compute a class of four-point functions in the bulk and on the boundary, and demonstrate precise agreement between them. This is…

High Energy Physics - Theory · Physics 2015-06-15 Eliot Hijano , Per Kraus , Eric Perlmutter

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how…

High Energy Physics - Theory · Physics 2022-07-06 Kenta Suzuki , Tadashi Takayanagi

We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show…

High Energy Physics - Theory · Physics 2022-09-07 Andrea Dei , Lorenz Eberhardt

We investigate the structure of two point functions for the QFT dual to an asymptotically Lorentzian AdS-wormhole. The bulk geometry is a solution of 5-dimensional second order Einstein Gauss Bonnet gravity and causally connects two…

High Energy Physics - Theory · Physics 2011-05-10 Raúl E. Arias , Marcelo Botta-Cantcheff , Guillermo A. Silva

We revisit AdS/CFT at finite radial cut-off, specifically in the context of double trace perturbations, $\mathbb{O}_n$= $\mathbb{O}(x) (\partial^2)^{n} {\mathcal O}(x)$, with arbitrary $n$. As well-known, the standard GKPW prescription,…

High Energy Physics - Theory · Physics 2017-02-01 Gautam Mandal , Pranjal Nayak

We develop a flat-space holographic dictionary for a free massive spinor field in four-dimensional Minkowski spacetime, using the hyperbolic (Milne) slicing into $\mathbb H^3$ (Euclidean $\mathrm{AdS}_3$). Decomposing bulk fields into…

High Energy Physics - Theory · Physics 2026-03-10 Dmitry S. Ageev , Anna S. Bernakevich

In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N Kazama-Suzuki model. There is now strong evidence supporting this proposal based on…

High Energy Physics - Theory · Physics 2015-06-12 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

Since euclidean global AdS_2 space represented as a strip has two boundaries, the state / operator correspondence in the dual CFT_1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the…

High Energy Physics - Theory · Physics 2011-12-16 Ashoke Sen

We discuss general properties of perturbative RG flows in AdS with a focus on the treatment of boundary conditions and infrared divergences. In contrast with flat-space boundary QFT, general covariance in AdS implies the absence of…

High Energy Physics - Theory · Physics 2024-03-05 Edoardo Lauria , Michael N. Milam , Balt C. van Rees

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 investigate the AdS/CFT correspondence for higher-derivative gravity systems, and develop a formalism in which the generating functional of the boundary field theory is given as a functional that depends only on the boundary values of…

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

We develop a systematic renormalization procedure for QFT in anti-de Sitter spacetime. UV infinities are regulated using a geodesic point-splitting method, which respects AdS isometries, while IR infinities are regulated by cutting off the…

High Energy Physics - Theory · Physics 2023-02-08 Máximo Bañados , Ernesto Bianchi , Iván Muñoz , Kostas Skenderis

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma