AdS_5 x S^5 Black Hole Metric at O(alpha'^3)

Jacek Pawelczyk; Stefan Theisen

RECORD

AdS_5 x S^5 Black Hole Metric at O(alpha'^3)

Jacek Pawelczyk, Stefan Theisen

High Energy Physics - Theory · Submitted 20 Aug 1998

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

The authors' main claim We find that the radius of the $S^5$ depends on the radial $AdS_5$ coordinate.

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, 3,560 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.66 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We compute $O(\alpha'^3)$ corrections to the $AdS_5\times S^5$ black hole metric. We find that the radius of the $S^5$ depends on the radial $AdS_5$ coordinate. This completes the computation of Gubser, Klebanov and Tseytlin (hep-th/9805156). The fact that the metric no longer factorizes should modify the value of the Wilson line at finite temperature and the glueball mass spectrum.

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	We compute $O(\alpha'^3)$ corrections to the $AdS_5\times S^5$ black hole metric.	contribution 1.00	0.97	0.17	asserted 0.99
s1	We find that the radius of the $S^5$ depends on the radial $AdS_5$ coordinate.	result 1.00	0.96	0.41	asserted 1.00
s2	This completes the computation of Gubser, Klebanov and Tseytlin (hep-th/9805156).	contribution 0.35	0.49	0.09	asserted 1.00
s3	The fact that the metric no longer factorizes should modify the value of the Wilson line at finite temperature and the glueball mass spectrum.	interpretation 1.00	0.31	0.19	hedged possibility 0.83

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.89.

What was examined, and what was not

sources read

arXiv listing abstract v1

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

We compute $O(\alpha'^3)$ corrections to the $AdS_5\times S^5$ black hole metric. We find that the radius of the $S^5$ depends on the radial $AdS_5$ coordinate. This completes the computation of Gubser, Klebanov and Tseytlin (hep-th/9805156). The fact that the metric no longer factorizes should modify the value of the Wilson line at finite temperature and the glueball mass spectrum.

Human review

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

References

Forward citations

Cited by 11 Pith papers

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

Causality violation in the holographic approach to N=4 SYM theory at finite 't Hooft coupling
hep-th 2026-10 accept novelty 7.0 of 10

Order-truncated holographic equations for finite-coupling N=4 SYM produce causality-violating, boost-unstable modes for any 't Hooft coupling at momenta above the string scale, an artifact of the truncation rather tha...
Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
hep-th 2004-06 conditional novelty 7.0 of 10

The shear viscosity to entropy ratio of N=4 supersymmetric Yang-Mills plasma is (1/4π)(1 + (135/8) ζ(3) (g²N_c)^{-3/2} + ...), a positive correction that keeps the ratio above the conjectured 1/4π bound.
Holographic explorations of regular black holes in pure gravity
hep-th 2025-05 conditional novelty 6.0 of 10

Regular, asymptotically AdS black holes are shown to exist in pure quasi-topological gravity, and their thermodynamics, quasinormal modes, Wilson loops, and a Type IIB field redefinition map are worked out.
Higher derivative corrections to Kerr black hole thermodynamics
hep-th 2019-01 accept novelty 6.0 of 10

Evaluating six- and eight-derivative curvature terms on the unperturbed Kerr metric yields closed-form corrections to its thermodynamic quantities, with the eight-derivative entropy shift provably non-negative for pos...
Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
hep-th 2016-11 conditional novelty 6.0 of 10

The Haack-Yarom relation among second-order transport coefficients is violated at second order in the Gauss-Bonnet coupling, and the zero-viscosity limit does not yield a dissipationless fluid.

Show 6 more citing papers

From strong to weak coupling in holographic models of thermalization
hep-th 2016-05 conditional novelty 6.0 of 10

Curvature-squared and curvature-fourth corrections to holographic black branes create new poles that collide with hydrodynamic poles, and the viscosity-to-relaxation-time ratio flattens as the coupling weakens.
Quantum corrections to eta/s
hep-th 2008-06 conditional novelty 6.0 of 10

Five-form flux higher-derivative terms drop out of the holographic eta/s calculation, so the leading 1/lambda correction is confirmed and the leading 1/N^2 correction is (5/16) lambda^{1/2}/N^2.
Higher derivative corrections to near-extremal black holes in type IIB supergravity
hep-th 2006-04 conditional novelty 6.0 of 10

Leading alpha' corrections shift the Hawking-Page temperature by a factor of (1 - 40γ) and add a ln(T/ε) term to the free energy of charged black 3-branes with a chemical potential.
On Euclidean and Noetherian Entropies in AdS Space
hep-th 2006-04 conditional novelty 6.0 of 10

Euclidean and Wald entropy computations agree for higher-derivative corrected AdS5 Schwarzschild black holes, with a general Noether-charge argument explaining the equivalence.
AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
hep-th 1999-06 conditional novelty 6.0 of 10

Hyperbolic AdS black holes carry entropy exceeding the weak-coupling gauge theory prediction at fixed energy, and the state isometric to pure AdS has 3/2 the free-field entropy with identical energy.
On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections
hep-th 2018-11 accept novelty 5.0 of 10

Pole-skipping persists in holographic theories with R-squared and alpha-prime-cubed R-to-the-fourth gravity corrections, and it predicts a specific finite-coupling shift in the butterfly velocity that an independent s...

How the literature uses it

31 arXiv papers cite this in 57 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 · 36 sentences without a confident label

Builds on it 1 paper

The analysis of the perturbed geometry is a generalization of the method in [ref] to non–conformal cases, where the effect of the $R^4$ term on the near–horizon geometry dual to D3 branes in type IIB string theory was considered (also see [ref] ).

Higher Derivative Corrections in Holographic QCD · Introduction · 0.94

Compares with it 3 papers

It is worth noting that the above solution, after going to Einstein frame and using a field redefinition, reduces to the known results in [ref] for $λ̃=0$ .

Non-relativistic D3-brane in the presence of higher derivative corrections · Higher derivative corrections · 0.97
These are the same expressions found in [ref] and introduced in the section [ref] (cf. [ref]).

Flux tube profile from Holography: finite size and strong coupling corrections · The dilaton equation of motion · 0.89
This is similar to what happens in the conformal case of the 3–brane geometry [ref] .

Higher Derivative Corrections in Holographic QCD · The background geometry dual to the color branes · 0.93

Cites it as support 1 paper

On the other, in [ref] , the full set of higher derivative corrections including the curvature and the five-form field strength at $𝒪(α'^3)$ has been provided; it turns out that the five-form dependent contributions to the equations of motion vanish on the three-brane solution at hand, making the results in [ref] robust.

Flux tube profile from Holography: finite size and strong coupling corrections · The supergravity background · 0.98

Cites it as background 12 papers

The background black brane geometry dual to a strongly coupled $=4$ SYM plasma at finite 't Hooft coupling was found in [ref] .

Relaxation time of a CFT plasma at finite coupling · Background geometry · 0.93
The reader should be aware that there is some confusion in the literature regarding the $α'$-corrected metric, and we refer the reader to [ref] for a discussion.

Holographic current correlators at finite coupling and scattering off a supersymmetric plasma · The $O(α'^3)$ string theory corrections · 0.93
In references [ref] , the effect of the string theory leading corrections to the metric were investigated, focussing upon the study of their corrections to thermodynamic quantities of the five-dimensional AdS-Schwarzschild black hole.

Plasma conductivity at finite coupling · Setting the holographic dual background · 0.88

Discussion

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