Extensivity Versus Holography in Anti-de Sitter Spaces

E. Rabinovici; J.L.F. Barbon

RECORD

Extensivity Versus Holography in Anti-de Sitter Spaces

J.L.F. Barbon, E. Rabinovici

High Energy Physics - Theory · Submitted 21 May 1998

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

The authors' main claim We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level.

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,883 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.20 · 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 study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.

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 study the dimensionality manifested in the AdS/CFT correspondence.	contribution 0.77	0.83	0.04	unclear 0.85
s1	We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level.	result 0.97	0.92	0.80	asserted 1.00
s2	The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.	interpretation 0.54	0.64	0.21	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.80.

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 study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.

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References

Forward citations

Cited by 6 Pith papers

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

Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
hep-th 1998-05 accept novelty 8.0 of 10

The leading strong-coupling correction to the N=4 SYM free energy is +45/32 ζ(3)(2g^2 N)^{-3/2}, moving the free energy from 3/4 toward 1 as the coupling decreases.
The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
hep-th 2003-10 conditional novelty 6.0 of 10

Compactified weakly coupled large-N gauge theories have a Hagedorn low-temperature phase and an order-N^2 high-temperature phase, separated either by one first-order transition below the Hagedorn temperature or by two...
A Note on Black Hole Entropy and Wormhole Instabilities
hep-th 2025-02 conditional novelty 5.0 of 10

A microcanonical treatment of Euclidean wormhole overlap integrals removes Jeans and GPY instabilities and yields the expected black hole entropy without spurious phases.
UV/IR Relations in AdS Dynamics
hep-th 1998-09 accept novelty 5.0 of 10

The two distance-energy relations used in AdS/CFT coincide only in conformal backgrounds; for nonconformal Dp-branes they differ in functional form, so holographic and brane-probe reasoning can disagree about which ef...
Topological Black Holes in Anti-de Sitter Space
hep-th 1998-08 conditional novelty 4.0 of 10

A d-dimensional family of anti-de Sitter black holes with spherical, flat, or hyperbolic horizons is constructed, and its entropy is shown to scale with mass in agreement with the dual conformal field theory.

Show 1 more citing papers

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.

How the literature uses it

4 arXiv papers cite this in 6 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 · 4 sentences without a confident label

Cites it as background 2 papers

In this estimate, $Vol_reg$ is the regularized optical volume,[Optical volumes are useful because they express naive extensivity for radiation in equilibrium (see [ref] and [ref] ).] measured with respect to the conformally rescaled metric $g_μν = g_μν / g_ττ = g_μν /f(r)$.

A Note on Black Hole Entropy and Wormhole Instabilities · Instabilities · 0.81
Strings thermodynamics has been deeply discussed through the years, both in flat and in curved space (see, e.g., [ref] ).

On the asymptotic density of states in solvable models of strings · Introduction · 0.99

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