Universality and a generalized C-function in CFTs with AdS Duals

A. C. Petkou; D. Klemm; D. Zanon; G. Siopsis

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Universality and a generalized C-function in CFTs with AdS Duals

D. Klemm, A. C. Petkou, G. Siopsis, D. Zanon

High Energy Physics - Theory · Submitted 17 Apr 2001

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

The authors' main claim We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality.

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arXiv IDhep-th/0104141 (version 1)

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CitationA. C. Petkou, D. Klemm, D. Zanon, G. Siopsis. "Universality and a generalized C-function in CFTs with AdS Duals." arXiv:hep-th/0104141 (2001). https://pith.science/paper/RWVLALXD

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.36 · mentions code or data availability 0.01.

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We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality. At strong coupling, a Cardy-Verlinde entropy formula holds even when R-charges or bulk supergravity scalars are turned on. In such a setting, the Casimir entropy can be identified with a generalized C-function that changes monotonically with temperature as well as when non-trivial bulk scalar fields are introduced. We generalize the Cardy-Verlinde formula to cases where no subextensive part of the energy is present and further observe that such a formula is valid for the N=4 super Yang-Mills theory in D=4 even at weak coupling. Finally we show that a generalized Cardy-Verlinde formula holds for asymptotically flat black holes in any dimension.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality.	result 0.66	0.56	0.64	asserted 0.70
s1	At strong coupling, a Cardy-Verlinde entropy formula holds even when R-charges or bulk supergravity scalars are turned on.	result 0.99	0.58	0.26	asserted 1.00
s2	In such a setting, the Casimir entropy can be identified with a generalized C-function that changes monotonically with temperature as well as when non-trivial bulk scalar fields are introduced.	result 0.90	0.81	0.30	asserted 0.99
s3	We generalize the Cardy-Verlinde formula to cases where no subextensive part of the energy is present and further observe that such a formula is valid for the N=4 super Yang-Mills theory in D=4 even at weak coupling.	result 0.75	0.89	0.17	asserted 1.00
s4	Finally we show that a generalized Cardy-Verlinde formula holds for asymptotically flat black holes in any dimension.	result 0.95	0.89	0.22	asserted 1.00

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Original abstract

We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality. At strong coupling, a Cardy-Verlinde entropy formula holds even when R-charges or bulk supergravity scalars are turned on. In such a setting, the Casimir entropy can be identified with a generalized C-function that changes monotonically with temperature as well as when non-trivial bulk scalar fields are introduced. We generalize the Cardy-Verlinde formula to cases where no subextensive part of the energy is present and further observe that such a formula is valid for the N=4 super Yang-Mills theory in D=4 even at weak coupling. Finally we show that a generalized Cardy-Verlinde formula holds for asymptotically flat black holes in any dimension.

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References

Forward citations

Cited by 2 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.
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.

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3 arXiv papers cite this in 13 sentences

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If we use $E_cR=(d-2)S_c/2π$ in equation ([ref]), where $S_c$ is the Casimir entropy and drop $E_c$ in analogy with equation ([ref]), we obtain the generalization to equation ([ref]) in $(d-1)$ dimensional CFT [ref] as [equation] where [equation] Now equation ([ref]) can be applied to a Schwarzschild black hole with asymptotically flat spacetime.

Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions · MDR corrections to the CV formula · 0.91
If we use $E_cR=(d-1)S_c/2π$ in equation ([ref]), where $S_c$ is the Casimir entropy and drop $E_c$ in analogy with equation ([ref]), we obtain the generalization to equation ([ref]) for a $d-$dimensional CFT [ref] as [equation] where [equation] Now equation ([ref]) can be applied to a Schwarzschild anti de Sitter black hole.

From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory · Cardy-Verlinde formula · 0.90

Cites it as background 1 paper

For a discussion of the Cardy-Verlinde formula in the context of the STU model see also [ref] .

On five-dimensional non-extremal charged black holes and FRW cosmology · Introduction · 0.93

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