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Randall-Sundrum models and the regularized AdS/CFT correspondence
High Energy Physics - Theory · Submitted 4 May 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We compare two- and three-point correlation functions and find the same behaviour in both descriptions.
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The abstract, sentence by sentence
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 compare two- and three-point correlation functions and find the same behaviour in both descriptions. In particular, we show that the regularization of the deformed CFT generates kinetic terms for the sources, which hence can be naturally treated as dynamical fields. We also discuss the counterterms required for two- and three-point correlators in the renormalized AdS/CFT correspondence.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It has been proposed that Randall-Sundrum models can be holographically described by a regularized (broken) conformal field theory. | background 1.00 | 0.04 | 0.08 | hedged possibility 0.58 |
| s1 | We analyze the foundations of this duality using a regularized version of the AdS/CFT correspondence. | contribution 0.53 | 0.90 | 0.06 | asserted 0.88 |
| s2 | We compare two- and three-point correlation functions and find the same behaviour in both descriptions. | result 0.99 | 0.96 | 0.48 | asserted 1.00 |
| s3 | In particular, we show that the regularization of the deformed CFT generates kinetic terms for the sources, which hence can be naturally treated as dynamical fields. | result 0.89 | 0.93 | 0.46 | asserted 1.00 |
| s4 | We also discuss the counterterms required for two- and three-point correlators in the renormalized AdS/CFT correspondence. | contribution 0.91 | 0.68 | 0.07 | asserted 0.65 |
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The paper
Original abstract
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 compare two- and three-point correlation functions and find the same behaviour in both descriptions. In particular, we show that the regularization of the deformed CFT generates kinetic terms for the sources, which hence can be naturally treated as dynamical fields. We also discuss the counterterms required for two- and three-point correlators in the renormalized AdS/CFT correspondence.
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References
How the literature uses it
30 arXiv papers cite this in 44 sentences
Papers citing it · 27 sentences without a confident label
Compares with it 2 papers
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Its brane-to-brane propagator in Euclidean momentum-space is given by [ref] [equation] which is almost identical to the RS 2 transverse propagator for a bulk vector field.
Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles · General Features of Vector and Scalar Position Space Green's Functions · 0.99
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In this case we find a surprising new result: that the corresponding renormalised 3-point correlators contain double logarithms of momenta.[Double logs were also observed earlier in [ref] in the context of AdS/CFT computations.
Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies · Introduction · 0.84
Cites it as support 2 papers
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When running the action corresponding to Eq. ([ref]) down to scales below $Λ_$, the CFT induces a kinetic term $∼(∂ϕ_0)^2$ for the scalar $ϕ_0$, which now manifestly becomes a propagating field [ref] .
Tachyons in Throat Cosmology · CFT Interpretation · 0.96
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The counterterms in npointR cancel not only local but also semilocal divergences when only a subset of points coincide [ref] .
Wilsonian renormalisation of CFT correlation functions: Field theory · Renormalisation · 0.96
Cites it as background 13 papers
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Another interesting feature of these $5D$ models is that while the warped dimension provides a weakly-coupled description, remarkably—via the correspondence between AdS space and CFT [ref] —a four-dimensional ($4D$) strongly-coupled dual description can be given [ref] .
On the stability of a soft-wall model · Introduction · 0.87
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The duality for RS backgrounds follows the discussions in [ref] and references therein.
Topics in noncommutative integrable theories and holographic brane-world cosmology · Renormalized scalar action · 0.81
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That the RS 2 model has a connection to a CFT is very well known, having been established ten years ago by Maldacena (unpublished), Witten [ref] and later by [ref] , [ref] , [ref] , [ref] , [ref] and others.
Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles · Literature overview · 0.96
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