On the Phase Transition of Conformal Field Theories with Holographic Duals

L. Cappiello; W. Mueck

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On the Phase Transition of Conformal Field Theories with Holographic Duals

L. Cappiello, W. Mueck

High Energy Physics - Theory · Submitted 27 Jul 2001

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

The authors' main claim The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.34 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We study the thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with S^n having an arbitrary radius. The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented. The condensate in the high temperature phase is identified as being composed of radiational matter.

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 thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times.	contribution 0.73	0.74	0.07	asserted 0.98
s1	A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with S^n having an arbitrary radius.	result 0.68	0.94	0.18	asserted 1.00
s2	The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented.	contribution 0.78	0.91	0.26	asserted 1.00
s3	The condensate in the high temperature phase is identified as being composed of radiational matter.	result 0.89	0.80	0.18	asserted 1.00

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

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arXiv listing abstract v3

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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 thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with S^n having an arbitrary radius. The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented. The condensate in the high temperature phase is identified as being composed of radiational matter.

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References

Forward citations

Cited by 5 Pith papers

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

Tachyon condensation and off-shell gravity/gauge duality
hep-th 2006-04 reject novelty 5.0 of 10

The paper proposes matching off-shell tachyon condensation to off-shell AdS black holes and, speculatively, to a ten-dimensional Schwarzschild black hole in a cavity.
Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
hep-th 2002-05 conditional novelty 5.0 of 10

Solving the bulk Hamiltonian constraint as descent equations yields all power and logarithmic divergences of the holographic on-shell action, plus exact one-point functions and Ward identities, including the chiral anomaly.
Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
hep-th 2002-02 conditional novelty 5.0 of 10

In Gauss-Bonnet and Riemann-squared gravity, anti-de Sitter black holes with hyperbolic horizons can undergo a Hawking-Page thermal phase transition, unlike in Einstein gravity where only spherical horizons do.
Born-Infeld Black Holes in (A)dS Spaces
hep-th 2004-10 conditional novelty 4.0 of 10

Exact Born-Infeld black hole solutions with flat, spherical, or hyperbolic horizons in (anti-)de Sitter space are derived, and their thermodynamic stability and Cardy-Verlinde entropy are analyzed.
Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
hep-th 2006-03 conditional novelty 3.0 of 10

The hyperbolic topological de Sitter space can make a Hawking-Page transition at T=3/(2πl); the Schwarzschild-de Sitter black hole shows a tentative Nariai transition at T=0.

How the literature uses it

4 arXiv papers cite this in 5 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 · 2 sentences without a confident label

Uses its method or tool 1 paper

Now, to derive the Cardy-Verlinde (CV) formula, we closely follow the set up in [ref] .

Cardy-Verlinde formula from boundary matrix model · Cardy-Verlinde formula · 0.97

Compares with it 1 paper

To compare this with the first-order phase transition, one simply refers the Hawking-Page phase transition in the Schwarzschild-AdS black hole [ref] .

Phase transition for black holes with scalar hair and topological black holes · Transition between MTZ and TBH · 0.99

Cites it as background 1 paper

The Hawking-Page phase transition has been widely studied in the literature from holography to modified gravity theories [ref] .

Kinetics of Hawking-Page phase transition with the non-Markovian effects · Introduction · 0.98

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