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We consider a scalar field theory in AdS_{d+1}, and introduce a formalism on surfaces at equal values of the radial coordinate. In particular, we define the corresponding conjugate momentum. We compute the Noether currents for isometries in…

High Energy Physics - Theory · Physics 2011-08-02 Pablo Minces

We consider the coupling of a free scalar to a single-trace operator of a large N CFT in d dimensions. This is equivalent to a double-trace deformation coupling two primary operators of the CFT, in the limit when one of the two saturates…

High Energy Physics - Theory · Physics 2016-06-29 Vladimir Bashmakov , Matteo Bertolini , Lorenzo Di Pietro , Himanshu Raj

This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

High Energy Physics - Theory · Physics 2025-05-23 Tzu-Miao Chou

The AdS/CFT equivalence transformation is a field redefinition that relates the Weyl dilaton and AdS brane realizations of broken conformal symmetry. Acting on theories with second order equations of motion, it maps the conformal galileons…

High Energy Physics - Theory · Physics 2025-08-05 Kurt Hinterbichler , Samanta Saha

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…

High Energy Physics - Theory · Physics 2015-05-28 Daniel K. Brattan , Joan Camps , R. Loganayagam , Mukund Rangamani

We discuss the general question of which conformal field theories have dual descriptions in terms of quantum gravity theories on anti-de Sitter space. We analyze in detail the case of a deformed product of n conformal field theories (each…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Adam B. Clark , Andreas Karch

It has been proposed that Randall-Sundrum models can be holographically described by a regularized (broken) conformal field theory. We analyze the foundations of this duality using a regularized version of the AdS/CFT correspondence. We…

High Energy Physics - Theory · Physics 2009-11-07 Manuel Perez-Victoria

Dispersion relations for S-matrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules for 1D CFTs. We use them to prove bounds on higher-derivative couplings in…

High Energy Physics - Theory · Physics 2022-10-26 Waltraut Knop , Dalimil Mazac

We study a class of interface conformal field theories obtained by taking a large $N$ CFT and turning on a relevant double-trace deformation over half space. At low energies, this leads to a conformal interface separating two CFTs which are…

High Energy Physics - Theory · Physics 2025-02-11 Simone Giombi , Elizabeth Helfenberger , Himanshu Khanchandani

We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS_4 and O(N) vector models in 3-d. These theories are free in the UV and interacting in the IR. At the UV fixed point, the O(N) model has…

High Energy Physics - Theory · Physics 2010-04-05 L. Girardello , M. Porrati , A. Zaffaroni

In arXiv:1601.02634 it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu-Takayanagi proposal must be modified for warped AdS$_3$…

High Energy Physics - Theory · Physics 2018-08-08 Wei Song , Qiang Wen , Jianfei Xu

Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator $T \bar T$, the product of the left- and right-moving stress tensor. We propose that…

High Energy Physics - Theory · Physics 2018-03-29 Lauren McGough , Márk Mezei , Herman Verlinde

The holographic principle and its realisation as the AdS/CFT correspondence leads to the existence of the so called precursor operators. These are boundary operators that carry non-local information regarding events occurring deep inside…

High Energy Physics - Theory · Physics 2024-04-09 Andrei T. Patrascu

For conformal field theories which admit a dual gravitational description in anti-de Sitter space, electrical transport properties, such as conductivity and charge diffusion, are determined by the dynamics of a U(1) gauge field in the bulk…

High Energy Physics - Theory · Physics 2011-06-09 Adam Ritz , John Ward

Within AdS/CFT, we establish a general procedure for obtaining the leading singularity of two-point correlators involving operator insertions at different times. The procedure obtained is applied to operators dual to a scalar field which…

High Energy Physics - Theory · Physics 2015-06-03 Johanna Erdmenger , Carlos Hoyos , Shu Lin

In addition to describing our universe, gravitational theories profoundly inspire the study of emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence is one of the most…

Strongly Correlated Electrons · Physics 2024-11-11 Alejo Costa Duran , Mauricio Sturla , Ludovic D. C. Jaubert , Han Yan

We investigate the nature of the AdS/CFT duality between a subregion of the bulk and its boundary. In global AdS/CFT in the classical G_N=0 limit, the duality reduces to a boundary value problem that can be solved by restricting to…

High Energy Physics - Theory · Physics 2013-12-18 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus , Claire Zukowski

We study non-Gaussian bulk 2d CFTs in AdS$_2$ using boundary CFT techniques and recent results in JT/Schwarzian gravity. We highlight the constraints on the operator content of a theory imposed by the boundary conditions by examining the…

High Energy Physics - Theory · Physics 2021-10-12 Cameron V. Cogburn

We discuss the interpaly between IR and UV divergences in theories with open and unoriented strings in view of the AdS/CFT correspondence. We start by deriving general formulas for the computation of threshold corrections to gauge couplings…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Jose F. Morales

We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. Key to the construction is an interplay between parallel transport in the bulk…

High Energy Physics - Theory · Physics 2023-05-31 Bowen Chen , Bartlomiej Czech , Jan de Boer , Lampros Lamprou , Zi-zhi Wang