Absorption cross section in warped AdS_3 black hole revisited

Hsien-chung Kao; Wen-Yu Wen

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Absorption cross section in warped AdS_3 black hole revisited

Hsien-Chung Kao, Wen-Yu Wen

High Energy Physics - Theory · Submitted 31 Jul 2009

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

The authors' main claim According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.96 · mentions code or data availability 0.01.

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We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole. According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found. We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes. Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole.	contribution 1.00	0.89	0.05	asserted 0.79
s1	According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found.	result 1.00	0.95	0.57	asserted 1.00
s2	We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes.	result 0.99	0.97	0.18	asserted 0.95
s3	Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.	interpretation 1.00	0.26	0.18	speculative 0.60

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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The paper

Original abstract

We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole. According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found. We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes. Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.

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References

How the literature uses it

11 arXiv papers cite this in 12 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 · 8 sentences without a confident label

Uses its method or tool 1 paper

We define $D_1 = D_ + D_$ and $D_2 = i h (D_ - D_)$ with $h$ being a dimensionless constant which will be assumed to be independent of the energy $ω$ [ref] .

Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors · Reflection, transmission coefficients and absorption cross sections · 0.81

Cites it as background 3 papers

It is notable that this issue has recently been studied in [ref] .

Hidden Conformal Symmetry of Warped AdS_3 Black Holes · Absorption cross section · 0.86
Though some have been known for quite a while (e.g., in some region of parameter space, time-like $WAdS_3$ is just Gödel space-time [ref] ), the space-like representative has attracted a great deal of attention [ref] since the conjecture of Anninos et al. that topologically massive gravity (TMG) with negative cosmological constant and space-like $WAdS_3$ boundary conditions is dual to a two-dimensional CFT [ref] .

String Theory on Warped AdS_3 and Virasoro Resonances · Introduction and Summary · 0.81
The existing literature [ref] on the warped AdS$_3$ solutions is largely motivated by the AdS/CFT correspondence and little attention has been given to these topics.

Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations · Introduction · 0.93

What it cites · 19 sentences without a confident label

Contests 1 paper

We find a disagreement with Ref. [ref] .

Absorption Cross Section in Warped AdS$_3$ Black Hole · Introduction and Summary · contest 0.81

Uses the method or tool of 1 paper

The local patch can be achieved by the coordinate transformation $x=e^-σ$ and $t=τ/2$: [equation] As in Ref. [ref] , we will solve the following equation: [equation] Using the ansatz $K(x,u) = e^ikuK̃(x)$, we obtain [equation] where we have chosen the operator with conformal weight $h_+$ as the renormalizable mode.

Anti De Sitter Space And Holography · Correlator in Poincarè coordinate · 0.86

Compares with 3 papers

In Ref. [ref] , the computation was carried out in the $r$ coordinate and a different set of independent solutions were obtained in equation (3.6) in their paper.

Absorption Cross Section in Warped AdS$_3$ Black Hole · Scalar field in warped AdS$_3$ black hole · 0.99
We would like to point out that this observation is consistent with the results obtained by commutating the quasinormal modes in Ref. [ref] [A alternative viewpoint is that $T_L,R$ remains intact but instead $ω$ is rescaled to $ω̃=δω$ This is just a matter of convention that depends on which coordinate system is chosen.

Quasinormal modes of warped $AdS_3$ black holes and AdS/CFT correspondence · Greybody factor · 0.82
In our convention, the effective temperature is the same as that of BTZ at $ν=1$ limit, nevertheless the convention in [ref] gives rise to correct entropy with conjectured central charges.

Warped AdS_3 Black Holes · Greybody factor · 0.84

Cites as background 13 papers

It was conjectured in [ref] that this background has a holographic description in terms of two-dimensional conformal field theory with uneven temperatures in the left and right sectors, given by [equation] The corresponding central charges are [equation] There have been several discussions on the thermodynamical properties of this black hole.

Warped AdS_3 Black Holes · Introduction and Summary · 0.87
([ref]) [ref] .

Absorption Cross Section in Warped AdS$_3$ Black Hole · Scalar field in warped AdS$_3$ black hole · 0.93
([ref]) [ref] .

Quasinormal modes of warped $AdS_3$ black holes and AdS/CFT correspondence · Scalar field in warped AdS$_3$ black hole · 0.93

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