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Related papers: A Note on Multi-trace Deformations and AdS/CFT

200 papers

We exhibit a simple class of exactly marginal "double-trace" deformations of two dimensional CFTs which have AdS_3 duals, in which the deformation is given by a product of left and right-moving U(1) currents. In this special case the…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Eva Silverstein

In this paper we shed new light on the AdS/CFT duality by interpreting the CFT as the Fourier space of AdS. We make use of well known integral geometry techniques to derive the Fourier transformation of a function defined on the AdS…

High Energy Physics - Theory · Physics 2009-03-09 Ian M. Tolfree

We review aspects of certain time-dependent deformations of $AdS/CFT$ containing cosmological singularities and their gauge theory duals. Towards understanding these solutions better, we explore similar singular deformations of de Sitter…

High Energy Physics - Theory · Physics 2012-04-17 K. Narayan

In this paper, we study the dynamics of end-of-the-world (EOW) branes in AdS with scalar fields localized on the branes as a new class of gravity duals of CFTs on manifolds with boundaries. This allows us to construct explicit solutions…

High Energy Physics - Theory · Physics 2023-04-05 Hiroki Kanda , Masahide Sato , Yu-ki Suzuki , Tadashi Takayanagi , Zixia Wei

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

Physical consistency of quantum fields in anti-de Sitter space time requires that the space must be compactified by the inclusion of a boundary where appropriate conditions are imposed. An interpretation for the presence of this boundary is…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

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…

High Energy Physics - Theory · Physics 2024-04-29 Machiko Fukada , Akihiro Miyata

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

High Energy Physics - Theory · Physics 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

We extend the analysis of boundedness and stability, initiated for scalar fields in anti de Sitter space in a previous work, to the case of vector fields. We show that the double trace deformation of Marolf and Ross is distinct from the…

High Energy Physics - Theory · Physics 2017-11-06 William Cottrell , Akikazu Hashimoto , Andrew Loveridge , Duncan Pettengill

In this work, we study the holographic dual of the $\text{T}\bar{\text{T}}$ deformation following the mixed boundary condition proposal. We point out that a boundary term should be included in the gravity action in the holographic…

High Energy Physics - Theory · Physics 2023-08-08 Jia Tian

For AdS boundary conditions, we give a solution of the H3+ two point function involving degenerate field with SL(2)-label b^{-2}/2, which is defined on the full (u,z) unit square. It consists of two patches, one for z<u and one for u<z.…

High Energy Physics - Theory · Physics 2009-04-30 Hendrik Adorf , Michael Flohr

Yang-Mills theory in AdS$_{4}$ with Dirichlet boundary conditions is expected to undergo a transition as the AdS radius varies, since the boundary data is incompatible with confinement in flat space. Various mechanisms have been proposed…

High Energy Physics - Theory · Physics 2025-12-02 Lorenzo Di Pietro , Stefanos R. Kousvos , Marco Meineri , Alessandro Piazza , Marco Serone , Alessandro Vichi

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function…

High Energy Physics - Theory · Physics 2015-05-28 JiJi Fan

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by…

High Energy Physics - Theory · Physics 2018-04-04 Gaston Giribet

We expand on Klebanov and Witten's recent proposal for formulating the AdS/CFT correspondence using irregular boundary conditions. The proposal is shown to be correct to any order in perturbation theory.

High Energy Physics - Theory · Physics 2008-11-26 W. Mueck , K. S. Viswanathan

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

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…

High Energy Physics - Theory · Physics 2015-05-30 Wei Song , Andrew Strominger

We develop a formalism to evaluate generic scalar exchange diagrams in AdS_{d+1} relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of…

High Energy Physics - Theory · Physics 2016-08-25 Hong Liu

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

The boundary correlation functions for a QFT in a fixed AdS background should reduce to S-matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptions we rigorously show…

High Energy Physics - Theory · Physics 2023-05-03 Balt C. van Rees , Xiang Zhao