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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

Motivated by AdS/CFT, we address the following outstanding question in large $N$ conformal field theory: given the appearance of a single-trace operator in the ${\cal O}\times{\cal O}$ OPE of a scalar primary ${\cal O}$, what is its total…

高能物理 - 理论 · 物理学 2018-08-09 Luis F. Alday , Agnese Bissi , Eric Perlmutter

In earlier papers a method was given for constructing from first principles a holographic bulk dual action in Euclidean AdS space for a Euclidean CFT on the boundary. The starting point was an Exact RG for the boundary theory. The bulk…

高能物理 - 理论 · 物理学 2025-08-11 B. Sathiapalan

We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions…

高能物理 - 理论 · 物理学 2026-05-05 Nikolay Bobev , Hynek Paul , Filippo Revello

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…

高能物理 - 理论 · 物理学 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

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…

高能物理 - 理论 · 物理学 2025-02-11 Simone Giombi , Elizabeth Helfenberger , Himanshu Khanchandani

We consider scalar QED with $N_f$ flavors in AdS$_D$. For $D<4$ the theory is strongly-coupled in the IR. We use the spin 1 spectral representation to compute and efficiently resum the bubble diagram in AdS, in order to obtain the exact…

高能物理 - 理论 · 物理学 2023-06-12 Ankur , Dean Carmi , Lorenzo Di Pietro

We explore the holographic duality between string theory in backgrounds that interpolate between asymptotically linear dilaton spacetime in the UV and $AdS_3$ in the IR, and single-trace $T\bar T$ deformed CFT. In particular, we explain how…

高能物理 - 理论 · 物理学 2023-06-21 Soumangsu Chakraborty , Amit Giveon , David Kutasov

The scalar field exchange diagram for the correlation function of four scalar operators is evaluated in anti-de Sitter space, $AdS_{d+1}$. The conformal dimensions $\Delta_i$, $i=1,...,4$ of the scalar operators and the dimension $\Delta$…

高能物理 - 理论 · 物理学 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

We show that the d'Alembertian operator with a possible mass term in the AdS soliton and more general confining gravity dual backrounds admits infinitely many different spectra. These can be interpreted as different theories in the infrared…

高能物理 - 理论 · 物理学 2024-04-03 Andrés Anabalón , Horatiu Nastase

We explore the conjectured duality between the critical O(N) vector model and minimal bosonic massless higher spin (HS) theory in AdS. In the boundary free theory, the conformal partial wave expansion (CPWE) of the four-point function of…

高能物理 - 理论 · 物理学 2009-11-11 Danilo E. Diaz , Harald Dorn

If there is a dS/CFT correspondence, time evolution in the bulk should translate to RG flows in the dual euclidean field theory. Consequently, although the dual field is expected to be non-unitary, its RG flows will carry an imprint of the…

高能物理 - 理论 · 物理学 2015-06-16 Diptarka Das , Sumit R. Das , Gautam Mandal

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

高能物理 - 理论 · 物理学 2020-09-23 Shailesh Lal

We derive the general formula, at a finite cutoff, for the change in the boundary condition of a scalar field in AdS under a Multiple-trace deformation of the dual CFT. Our analysis suggests that fluctuations around the classical solution…

高能物理 - 理论 · 物理学 2009-11-07 Amit Sever , Assaf Shomer

We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal…

高能物理 - 理论 · 物理学 2010-10-27 Ioannis Papadimitriou

In this work, we point out a contradiction between holography and scale-separated AdS (i.e. parametrically large mass gap) in string theory, making the standard assumption that the holographic CFT describes the IR degrees of freedom on a…

高能物理 - 理论 · 物理学 2025-12-10 Alek Bedroya , Paul J. Steinhardt

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

高能物理 - 理论 · 物理学 2009-11-07 Nihat Sadik Deger

Holographic model of massive scalar field with its self-interaction $\lambda\phi^n$ in AdS space is able to give a logarithmic scale dependence to marginal multi trace deformation couplings on its dual conformal field theory, where…

高能物理 - 理论 · 物理学 2022-01-05 Gitae Kim , Jae-Hyuk Oh

We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto.…

高能物理 - 理论 · 物理学 2007-05-23 Edward Witten

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the…

高能物理 - 理论 · 物理学 2012-02-22 Djordje Radicevic
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