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A Note on Multi-trace Deformations and AdS/CFT

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Amit Sever, Assaf Shomer

High Energy Physics - Theory · Submitted 19 Mar 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our analysis suggests that fluctuations around the classical solution in AdS should not be constrained by boundary conditions.

how it is stated · hedged possibility 1.00 read the record →

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arXiv IDhep-th/0203168 (version 3)
Pith IDJDMCXJWV, Pith's permanent record of this paper and its review
CitationAmit Sever, Assaf Shomer. "A Note on Multi-trace Deformations and AdS/CFT." arXiv:hep-th/0203168 (2002). https://pith.science/paper/JDMCXJWV
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,255 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

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 in AdS should not be constrained by boundary conditions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. contribution 0.78 0.95 0.30 asserted 1.00
s1 Our analysis suggests that fluctuations around the classical solution in AdS should not be constrained by boundary conditions. interpretation 0.99 0.71 0.48 hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

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 in AdS should not be constrained by boundary conditions.

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References
How the literature uses it

31 arXiv papers cite this in 54 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 28 sentences without a confident label

Builds on it 1 paper
Uses its method or tool 1 paper
  • Such a technique has already been developed in [ref] , and we only need to introduce auxiliary fields.

    Lindblad dynamics in holography · Introduction · 0.96

Compares with it 2 papers
  • In fact, the boundary terms on the gravity side will be shown to be in one to one correspondence with multitrace deformations of the 1 Particle Irreducible (1PI) action of the operator $O$ of dimension $Δ=Δ_-$, as opposed to being mapped into deformations of the generating functional of an operator $O$ of dimension $Δ=Δ_+$ as in [ref] .

    Multitrace deformations, Gamow states, and Stability of AdS/CFT · Introduction · 0.88

  • The conditions [ref] coincide with the ones developed before in [ref] .

    Heat and work in black hole thermodynamics via holography · The holographic dual of system and bath · 0.81

Cites it as support 2 papers
  • The conclusion is that the bulk quantum path integral may not be necessarily subject to any boundary prescription on the singlet scalar field driving the deformation, the boundary condition only arising in the semi-classical approximation [ref] .

    Comments on higher-spin holography · “Double-trace” deformation of the free CFT · 1.00

  • Furthermore, we demonstrate that \(W\)-freedom, which modifies the bulk boundary conditions, corresponds to a multi-trace deformation in the boundary theory [ref] (and for a systematic treatment of multi-trace deformations see also [ref] and also [ref] ).

    Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence · Introduction · 0.97

Cites it as background 15 papers

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