On Subleading Contributions to the AdS/CFT Trace Anomaly

Edi Gava; K.S. Narain; Matthias Blau

RECORD

On Subleading Contributions to the AdS/CFT Trace Anomaly

Matthias Blau, Edi Gava, K.S. Narain

High Energy Physics - Theory · Submitted 26 Apr 1999

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

The authors' main claim We find agreement with the field theory result up to next to leading order in the 1/N expansion.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,653 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.92 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In the context of the AdS/CFT correspondence, we perform a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced from heterotic - type I duality. We also discuss, in the AdS/CFT context, the order N corrections to the trace anomaly in d=4, N=4 SCFTs involving SO or Sp gauge groups.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In the context of the AdS/CFT correspondence, we perform a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT.	contribution 0.89	0.96	0.07	asserted 0.96
s1	We find agreement with the field theory result up to next to leading order in the 1/N expansion.	result 1.00	0.95	0.61	asserted 1.00
s2	In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced from heterotic - type I duality.	result 0.81	0.75	0.20	asserted 1.00
s3	We also discuss, in the AdS/CFT context, the order N corrections to the trace anomaly in d=4, N=4 SCFTs involving SO or Sp gauge groups.	contribution 0.93	0.61	0.08	asserted 0.51

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.79.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

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

In the context of the AdS/CFT correspondence, we perform a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In particular, the order N gravitational contribution to the anomaly is obtained from a Riemann tensor squared term in the 7-brane effective action deduced from heterotic - type I duality. We also discuss, in the AdS/CFT context, the order N corrections to the trace anomaly in d=4, N=4 SCFTs involving SO or Sp gauge groups.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 16 Pith papers

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

The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
hep-th 2009-12 conditional novelty 8.0 of 10

The flavor-singlet sector of N=2 superconformal QCD in the Veneziano limit is conjectured to be dual to a sub-critical string background with seven geometric dimensions, AdS5 times a circle, supported by an index comp...
The gravity duals of N=2 superconformal field theories
hep-th 2009-04 conditional novelty 8.0 of 10

The gravity duals of Gaiotto's N=2 generalized quiver theories are M-theory backgrounds fixed by a Toda equation whose piecewise-linear line-charge profile encodes the quiver ranks and the punctures' global symmetries.
Conformal collider physics: Energy and charge correlations
hep-th 2008-03 accept novelty 8.0 of 10

Energy correlation functions in conformal field theories are governed at small angles by non-local light-ray operators of definite spin, their one-point antenna patterns are fixed by the anomaly coefficients a and c, ...
Holographic studies of Einsteinian cubic gravity
hep-th 2018-01 conditional novelty 7.0 of 10

In the holographic model defined by Einsteinian cubic gravity in four bulk dimensions, the shear viscosity to entropy density ratio never falls below the KSS bound, because the parameter region that would allow a viol...
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
hep-th 2007-12 accept novelty 7.0 of 10

General R^2 corrections to AdS gravity shift the dual theory's viscosity-to-entropy ratio by a term proportional to c3, and in the N=2 Sp(N) theory with fundamental and antisymmetric matter this pushes the ratio below 1/(4π).

Show 11 more citing papers

Thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity
hep-th 2026-09 conditional novelty 6.0 of 10

Lorentzian Taub-NUT-AdS spacetimes in Einstein-Gauss-Bonnet gravity admit a first law δM = TδS + ψδN with an explicitly given NUT charge and conjugate potential.
Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors
hep-th 2026-05 unverdicted novelty 6.0 of 10

Localization matrix models yield resummed strong-coupling expressions for observables in N=2 theories with antisymmetric and fundamental matter, using an effective 't Hooft coupling at large N.
Complexity Growth Rate in Lovelock Gravity
hep-th 2018-03 conditional novelty 6.0 of 10

In Lovelock gravity, the late-time growth rate of holographic complexity for charged black holes equals the difference of internal energies at the inner and outer horizons, reducing to 2(M - M_min)/π in the uncharged limit.
Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
hep-th 2006-11 accept novelty 6.0 of 10

The authors derive the bosonic supersymmetric completion of the mixed gauge-gravitational Chern-Simons term in 5D N=2 supergravity and show its AdS vacuum condition reproduces 4D a-maximization.
Holographic Gravitational Anomalies
hep-th 2005-08 accept novelty 6.0 of 10

A gravitational Chern-Simons term in AdS3 shifts the left and right central charges oppositely, gives empty AdS3 a nonzero angular momentum of 4 pi beta, and fixes black hole entropy corrections exactly.
Generalised Symmetries and Manifest Duality II: Curved Spacetime
hep-th 2026-06 unverdicted novelty 5.0 of 10

Extends potential-based duality-symmetric gauge theories to curved spacetime, reproducing gravitational anomalies and providing holographic boundary terms without manual addition.
Higher-Derivative Corrections to Entropy and the Weak Gravity Conjecture in Anti-de Sitter Space
hep-th 2019-12 accept novelty 5.0 of 10

In anti-de Sitter space the four-derivative shift in a charged black hole's extremal mass equals minus the temperature times the shift in its entropy, and demanding that entropy shift be positive forces the Riemann-sq...
Causality of Holographic Hydrodynamics
hep-th 2009-06 conditional novelty 5.0 of 10

Causality of linearized fluctuations in Gauss-Bonnet holography restricts the dual central-charge asymmetry to the interval -1/2 to 1/2, matching the Hofman-Maldacena energy-flux bound.
Beyond eta/s = 1/4pi
hep-th 2008-12 conditional novelty 5.0 of 10

Superconformal gauge theories with c > a violate the Kovtun-Son-Starinets viscosity bound, with eta/s = (1/4pi)(1 - (c-a)/c) in the regime where a five-dimensional gravity dual is controllable.
Large N Field Theories, String Theory and Gravity
hep-th 1999-05 accept novelty 3.0 of 10

The review argues and assembles the evidence that N=4 supersymmetric Yang-Mills theory in four dimensions is dual to type IIB string theory on AdS5 x S5, and surveys what the duality predicts.
The Shear Viscosity to Entropy Ratio: A Status Report
hep-th 2011-08 conditional novelty 2.0 of 10

Curvature-squared corrections in consistent holographic duals push the shear-viscosity-to-entropy ratio below 1/4π, so the KSS bound is not a law of nature, though causality constrains it in the models where the coupl...

How the literature uses it

49 arXiv papers cite this in 71 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 · 59 sentences without a confident label

Builds on it 1 paper

This extends the existing results for nontrivial metric and dilaton backgrounds [ref] [ For the maximally supersymmetric case a discussion of the SCFT effective action, the conformal anomaly and the role of conformal supergravity in AdS/CFT can be found in [ref] .

The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on Asymptotically-AdS_5 · Introduction · 0.92

Uses its method or tool 3 papers

Next, we determine the cosmological constant $-12/L̃^2$ by comparing the central charges $a,c$ in SCFT side with that in the holographic Weyl anomaly [ref] .

Holographic Entanglement Entropy for d=4 N=2 SCFTs in F-theory · Determination of $L̃^2$ · 0.90
Using the Weyl anomaly and holographic recipes, the coefficients of the higher derivative $R^2$ terms in the 5-dimensional effective action can be determined [ref] .

1/N Effects in Non-Relativistic Gauge-Gravity Duality · $R^2$ Terms in IIB and their Gauge Theory Origins · 0.89
To compute the corrected $a$ and $c$ from [ref], we follow [ref] , see also the earlier work in [ref] , and identify the gravitational sector of the above Lagrangian with an effective theory

AdS$_5$ Holography and Higher-Derivative Supergravity · Higher-derivative theory · 0.88

Cites it as background 8 papers

Calculating the central charges of 4d CFTs from the $AdS_5$ dual was originally discussed in [ref] , and further extended to include higher-derivative corrections in [ref] .

Higher Derivative Corrections and Central Charges from Wrapped M5-branes · Four-dimensional central charges · 0.90
Weyl$^4$ higher-derivative corrections to bulk Einstein gravity encode finite 't Hooft coupling corrections of the dual conformal gauge theory [ref] , and Riemann$^2$ corrections describe finite-$N$ effects in the dual theory [ref] .

Holographic conformal order with higher derivatives · Introduction and summary · 0.93
Specifically, we consider a holographic model with a Gauss-Bonnet (GB) gravity dual, [equation] The corresponding conformal gauge theory is distinguished by having two distinct central charges [ref] – see section [ref] for details.

Causality of Holographic Hydrodynamics · Introduction · 0.89

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.