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Conformal deformations manifest in the AdS/CFT correspondence as boundary conditions on the AdS field. Heretofore, double-trace deformations have been the primary focus in this context. To better understand multitrace deformations, we…

高能物理 - 理论 · 物理学 2016-01-14 Sean Cantrell

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…

高能物理 - 理论 · 物理学 2019-10-30 Yu-han Lin , Bin Chen

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

高能物理 - 理论 · 物理学 2024-04-29 Machiko Fukada , Akihiro Miyata

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

高能物理 - 理论 · 物理学 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We discuss possible choices for boundary conditions in the AdS/CFT correspondence, and calculate the renormalisation group flow induced by a double-trace perturbation. In running from the UV to the IR there is a unit shift in the central…

高能物理 - 理论 · 物理学 2016-09-06 David Nolland

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

高能物理 - 理论 · 物理学 2009-10-31 Pablo Minces , Victor O. Rivelles

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action…

高能物理 - 理论 · 物理学 2008-11-26 Geoffrey Compère , Don Marolf

We clarify aspects of the holographic AdS/CFT correspondence that are typical of Lorentzian signature, to lay the foundation for a treatment of time-dependent gravity and conformal field theory phenomena. We provide a derivation of…

高能物理 - 理论 · 物理学 2010-02-03 Yuji Satoh , Jan Troost

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in connection with boundary correlation functions. We show that boundary…

高能物理 - 理论 · 物理学 2020-09-02 Alex May , Geoff Penington , Jonathan Sorce

According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we…

高能物理 - 理论 · 物理学 2008-11-26 Thomas Hartman , Leonardo Rastelli

We consider a scalar field theory on AdS, and show that the usual AdS/CFT prescription is unable to map to the boundary a part of the information arising from the quantization in the bulk. We propose a solution to this problem by defining…

高能物理 - 理论 · 物理学 2009-11-10 Pablo Minces

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary…

高能物理 - 理论 · 物理学 2009-11-11 Donald Marolf , Simon Ross

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…

高能物理 - 理论 · 物理学 2012-03-21 Tomas Andrade , Christoph F. Uhlemann

We develop a new embedding-space formalism for AdS$_4$ and CFT$_3$ that is useful for evaluating Witten diagrams for operators with spin. The basic variables are Killing spinors for the bulk AdS$_4$ and conformal Killing spinors for the…

高能物理 - 理论 · 物理学 2020-03-18 Damon J. Binder , Daniel Z. Freedman , Silviu S. Pufu

String theory contains solutions with SL(2,R)_R x U(1)_L-invariant warped AdS3 (WAdS3) factors arising as continuous deformations of ordinary AdS3 factors. We propose that some of these are holographically dual to the IR limits of nonlocal…

高能物理 - 理论 · 物理学 2015-05-30 Wei Song , Andrew Strominger

By carefully analyzing the radial part of the wave-equation for a scalar field in AdS, we show that for a particular range of boundary conditions on the scalar field, the radial spectrum contains a bound state. Using the AdS/CFT…

高能物理 - 理论 · 物理学 2015-06-26 Jan Troost

We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom. A relation between Dirichlet and Neumann…

高能物理 - 理论 · 物理学 2022-07-22 Sylvain Fichet

In the perturbative AdS-CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional integral, and the boundary limit of the quantized bulk field are the same thing. This statement is…

高能物理 - 理论 · 物理学 2008-11-26 M. Duetsch , K. -H. Rehren

Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk partition function with respect to boundary conditions, or extrapolate bulk correlation functions to the boundary. These dictionaries were conjectured to be…

高能物理 - 理论 · 物理学 2011-04-22 Daniel Harlow , Douglas Stanford

We study the gravitational Dirichlet problem in AdS spacetimes with a view to understanding the boundary CFT interpretation. We define the problem as bulk Einstein's equations with Dirichlet boundary conditions on fixed timelike cut-off…

高能物理 - 理论 · 物理学 2015-05-28 Daniel K. Brattan , Joan Camps , R. Loganayagam , Mukund Rangamani
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