The Boundary Weyl Anomaly in the ${\cal N}=4$ SYM/Type IIB Supergravity Correspondence

David Nolland; Paul Mansfield; Tatsuya Ueno

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The Boundary Weyl Anomaly in the ${\cal N}=4$ SYM/Type IIB Supergravity Correspondence

Paul Mansfield, David Nolland, Tatsuya Ueno

High Energy Physics - Theory · Submitted 4 Nov 2003

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

The authors' main claim The correct matching with the CFT result is thus a highly non-trivial test of the correspondence.

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arXiv IDhep-th/0311021 (version 1)

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CitationDavid Nolland, Paul Mansfield, Tatsuya Ueno. "The Boundary Weyl Anomaly in the ${\cal N}=4$ SYM/Type IIB Supergravity Correspondence." arXiv:hep-th/0311021 (2003). https://pith.science/paper/IRJH6VHT

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.65 · mentions code or data availability 0.02.

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We give a complete account of the Schr\"odinger representation approach to the calculation of the Weyl anomaly of ${\cal N}=4$ SYM from the AdS/CFT correspondence. On the AdS side, the $1/N^2$ correction to the leading order result receives contributions from all the fields of Type IIB Supergravity, the contribution of each field being given by a universal formula. The correct matching with the CFT result is thus a highly non-trivial test of the correspondence.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We give a complete account of the Schr\"odinger representation approach to the calculation of the Weyl anomaly of ${\cal N}=4$ SYM from the AdS/CFT correspondence.	contribution 0.97	0.92	0.16	asserted 1.00
s1	On the AdS side, the $1/N^2$ correction to the leading order result receives contributions from all the fields of Type IIB Supergravity, the contribution of each field being given by a universal formula.	result 0.92	0.74	0.16	asserted 1.00
s2	The correct matching with the CFT result is thus a highly non-trivial test of the correspondence.	interpretation 0.99	0.25	0.25	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

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Original abstract

We give a complete account of the Schr\"odinger representation approach to the calculation of the Weyl anomaly of ${\cal N}=4$ SYM from the AdS/CFT correspondence. On the AdS side, the $1/N^2$ correction to the leading order result receives contributions from all the fields of Type IIB Supergravity, the contribution of each field being given by a universal formula. The correct matching with the CFT result is thus a highly non-trivial test of the correspondence.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies
hep-th 2024-11 conditional novelty 6.0 of 10

One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.
Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
hep-th 2014-10 conditional novelty 6.0 of 10

General formulas for one-loop vacuum energy and conformal anomaly coefficients of arbitrary higher-spin AdS5 fields are derived, and applied to show that each Kaluza-Klein level p of type IIB supergravity on S5 contri...
On the Underlying Nonrelativistic Nature of Relativistic Holography
hep-th 2025-02 conditional novelty 5.0 of 10

Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
On higher spin partition functions
hep-th 2015-03 conditional novelty 5.0 of 10

The regularized product of one-loop partition functions over all free massless higher spins equals one, a cancellation attributed to the theory's large gauge symmetry.

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8 arXiv papers cite this in 12 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

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Uses its method or tool 1 paper

One particular regularization (used in similar context in [ref] ) is to introduce a factor $z^p$ with $z <1$, do the sum and then drop all terms that are singular (power-divergent) in the limit $z→1$.

Exact strong coupling results in $\cal N$=2 $Sp(2N)$ superconformal gauge theory from localization · Free energy in $=4$ theory dual to IIB string on AdS$_5× ℝℙ^5$ S6-1 · 0.94

Cites it as background 1 paper

Moving to the next order $^(1)_IIB$ , one needs to consider one-loop effects in type-IIB string theory in the bulk [ref] .

One-Loop Free Energy of Tensionless Type IIB String in AdS$_5\times$S$^5$ · Introduction · 0.82

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