Three-Dimensional Black Holes and String Theory

D. Birmingham (University College Dublin) I. Sachs (DIAS) S. Sen (Trinity College Dublin)

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Three-Dimensional Black Holes and String Theory

D. Birmingham (University College Dublin) I. Sachs (DIAS) S. Sen (Trinity College Dublin)

High Energy Physics - Theory · Submitted 22 Jul 1997

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

The authors' main claim The exact decay rate for emission of massless minimally coupled scalar fields by a non-extremal black hole in 2+1 dimensions is obtained.

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arXiv IDhep-th/9707188 (version 2)

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CitationD. Birmingham (University College Dublin) I. Sachs (DIAS) S. Sen (Trinity College Dublin). "Three-Dimensional Black Holes and String Theory." arXiv:hep-th/9707188 (1997). https://pith.science/paper/UDHJKH44

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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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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.40 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.64 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The exact decay rate for emission of massless minimally coupled scalar fields by a non-extremal black hole in 2+1 dimensions is obtained. At low energy, the decay rate into scalars with zero angular momentum is correctly reproduced within conformal field theory. The conformal field theory has both left- and right-moving sectors and their contribution to the decay rate is associated naturally with left and right temperatures of the black hole.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The exact decay rate for emission of massless minimally coupled scalar fields by a non-extremal black hole in 2+1 dimensions is obtained.	result 0.87	0.91	0.77	asserted 1.00
s1	At low energy, the decay rate into scalars with zero angular momentum is correctly reproduced within conformal field theory.	result 0.93	0.73	0.20	asserted 1.00
s2	The conformal field theory has both left- and right-moving sectors and their contribution to the decay rate is associated naturally with left and right temperatures of the black hole.	interpretation 0.90	0.67	0.17	asserted 1.00

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The paper

Original abstract

The exact decay rate for emission of massless minimally coupled scalar fields by a non-extremal black hole in 2+1 dimensions is obtained. At low energy, the decay rate into scalars with zero angular momentum is correctly reproduced within conformal field theory. The conformal field theory has both left- and right-moving sectors and their contribution to the decay rate is associated naturally with left and right temperatures of the black hole.

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References

Forward citations

Cited by 3 Pith papers

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

Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
hep-th 1998-06 conditional novelty 6.0 of 10

The Kaluza-Klein spectrum of 6d supergravity on S^3 x AdS_3 agrees with the K3^N/S_N orbifold CFT, and the non-chiral primaries Vafa counted via the elliptic genus arise as products of descendants of chiral primaries.
Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
hep-th 2018-01 conditional novelty 4.0 of 10

Applying a sixth-order WKB approximation to a scale-dependent three-dimensional charged Einstein-power-Maxwell black hole, the authors find that all scalar modes with nonzero angular momentum have positive imaginary f...
Microscopic Formulation of Black Holes in String Theory
hep-th 2002-03 accept novelty 4.0 of 10

The low-energy conformal field theory of the D1-D5 brane system, with central charge 6Q1Q5, reproduces the five-dimensional black hole's Bekenstein-Hawking entropy and its Hawking rate, including four scalar modes tha...

How the literature uses it

10 arXiv papers cite this in 15 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 · 9 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 5 papers

This idea was fully implemented by Strominger [ref] (and independently by Birmingham et al. [ref] ) for the BTZ black hole [ref] by imposing Brown-Henneaux boundary conditions [ref] .

Where are the BTZ Black Hole Degrees of Freedom? The Rotating Case · Introduction · 0.87
The idea was first suggested in [ref] and then fully implemented by Strominger [ref] (and independently by Birmingham et al. [ref] ) for the BTZ black hole [ref] by applying Brown-Henneaux boundary conditions [ref] .

Where are the BTZ Black Hole Degrees of Freedom? · Introduction · 0.93
Furthermore, if the energy dependence is retained, the greybody factor or decay rate can also be obtained from the corresponding conformal field theory of the black hole [ref] .

Absorption cross section in warped AdS_3 black hole revisited · Introduction and Summary · 0.91

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