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Beyond AdS$_2$/dCFT$_1$: Insertions in Two Wilson Loops
High Energy Physics - Theory · Submitted 30 Mar 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
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The abstract, sentence by sentence
We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in ${\cal N}=4$ supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS$_2$ regions and in the other phase is given by two disconnected AdS$_2$ caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in ${\cal N}=4$ supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. | contribution 0.80 | 0.82 | 0.05 | asserted 0.80 |
| s1 | On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS$_2$ regions and in the other phase is given by two disconnected AdS$_2$ caps; this configuration breaks supersymmetry as well as conformal invariance. | background 0.82 | 0.32 | 0.08 | asserted 1.00 |
| s2 | We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. | contribution 0.81 | 0.95 | 0.08 | asserted 0.98 |
| s3 | On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. | method 0.75 | 0.95 | 0.05 | asserted 1.00 |
| s4 | Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime. | interpretation 0.96 | 0.74 | 0.63 | asserted 1.00 |
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Original abstract
We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in ${\cal N}=4$ supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS$_2$ regions and in the other phase is given by two disconnected AdS$_2$ caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
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References
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What it cites · 50 sentences without a confident label
Builds on 1 paper
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In this manuscript we build on these interesting developments and initiate the study of correlators between insertions of operators in a system of two Wilson-Maldacena loops [ref] .
Ladder Limit for Correlators of Wilson Loops · Introduction · 0.93
Uses the method or tool of 7 papers
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Our analysis will closely follow that of [ref] , where the ladder contribution to the expectation value of connected correlators of Wilson-Maldacena loops are given in terms of certain Green's functions satisfying a set of Dyson equations.
Dyson equations for correlators of Wilson loops · Field theory correlators in the ladder approximation · 0.93
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Our analysis will closely follow that of [ref] , where the ladder contribution to the expectation value of connected correlators of Wilson-Maldacena loops are given in terms of certain Green's functions satisfying a set of Dyson equations.
String Breaking from Ladder Diagrams in SYM Theory · Field theory correlators in the ladder approximation · 0.93
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In particular, [ref] becomes [equation] where now [equation] At this point we apply a manipulation described in [ref] that allows us to find an intuitively clear solution to the above equation.
Static Potential in N=4 Supersymmetric Yang-Mills Theory · Large $cosγ$ limit · 0.98
Uses data or values from 1 paper
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An impressive result of [ref] was to determine corrections to the conformal dimension: $Δ=2+2n-(2n^2+3n)/√(λ)$.
Half-BPS Wilson loop and AdS$_2$/CFT$_1$ · Geodesic approximation for heavy scalars · 0.81
Compares with 4 papers
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These results agree completely with those of [ref] , despite the fact that here we have used a different regularization of the action.
Ladder Limit for Correlators of Wilson Loops · Renormalized on-shell action · 1.00
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[equation] We verified that these values agree, in the appropriate limits, with those given originally in [ref] and more recently in [ref] .
Wilson Loop Correlator in the AdS/CFT Correspondence · Massless scalar · 0.99
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As noted in the introduction, there is a striking similarity between the Gross-Ooguri phase transition of our set up and the transition in the Page curve for certain models of two-dimensional gravity [ref] .
The entropy of Hawking radiation · Conclusions · 0.86
Cites as support 1 paper
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A key motivation to consider this limit is the fact that the ladder diagrams become the leading contribution [ref] .
Dyson equations for correlators of Wilson loops · Large $cosγ$ limit · 0.99
Cites as background 33 papers
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Let us first review the evaluation of the vacuum expectation value of the above two Wilson-Maldacena loops as we introduce some convenient technical ingredients, more details can be found in [ref] .
Dyson equations for correlators of Wilson loops · The correlator of two Wilson loops · 0.91
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Let us first review the evaluation of the vacuum expectation value of the above two Wilson-Maldacena loops as we introduce some convenient technical ingredients, more details can be found in [ref] .
String Breaking from Ladder Diagrams in SYM Theory · The correlator of two Wilson loops · 0.91
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An example of the operators we have in mind were dubbed “two-particle operators” in [ref] .
Half-BPS Wilson loop and AdS$_2$/CFT$_1$ · Geodesic approximation for heavy scalars · 0.85
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