High Energy Physics - Theory · arXiv:hep-th/0507082 v2 · submitted 7 Jul 2005
5d Black Hole as Emergent Geometry of Weakly Interacting 4d Hot Yang-Mills Gas
The paper says
“We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N=4 superconformal Yang-Mills theory.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N=4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao "information geometry". In Yang-Mills theory, the information metric is measured by a novel class of gauge-invariant, nonlocal operators in the instanton sector. We show that the moduli space metric exhibits (1) asymptotically anti-de Sitter, (2) horizon at radial distance set by the Yang-Mills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak `t Hooft coupling.
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. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.09 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N=4 superconformal Yang-Mills theory. | result 0.72 | 0.89 | 0.93 | asserted 1.00 |
| We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. | method 0.78 | 0.37 | 0.04 | asserted 0.88 |
| We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao "information geometry". | method 0.94 | 0.75 | 0.04 | asserted 0.92 |
| In Yang-Mills theory, the information metric is measured by a novel class of gauge-invariant, nonlocal operators in the instanton sector. | method 0.84 | 0.63 | 0.04 | asserted 1.00 |
| We show that the moduli space metric exhibits (1) asymptotically anti-de Sitter, (2) horizon at radial distance set by the Yang-Mills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. | result 1.00 | 0.93 | 0.24 | asserted 1.00 |
| We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak `t Hooft coupling. | interpretation 0.62 | 0.71 | 0.16 | asserted 0.46 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95
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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,059 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 6 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Black hole bulk-cone singularities hep-th · Oct 2023
- A thermal product formula hep-th · Apr 2023
- Multi-matrix models and emergent geometry hep-th · May 2008
- Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT hep-th · Apr 2006
- Massless black holes and black rings as effective geometries of the D1-D5 system hep-th · Aug 2005
- Relative Entropy and Proximity of Quantum Field Theories hep-th · Oct 2014
How the literature uses it
8 arXiv papers cite this in 8 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 3 papers
-
This issue has been studied from various viewpoints, both in the present context of the D1-D5 system [ref] as well as in a similar context of BPS states in $AdS_5$ [ref] .
Microstate Dependence of Scattering from the D1-D5 System · Introduction and Summary · 0.89
-
There are various discussions of emergent geometry in AdS/CFT in the literature, including [ref] .
Multi-matrix models and emergent geometry · Introduction · 0.97
-
Interesting relationships between information geometry, quantum information and string theory/holography have been studied also in [ref] , [ref] , [ref] and [ref] .
Probability Density Functions from the Fisher Information Metric · Introduction · 0.96
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment