Chern-Simons Theories in the AdS/CFT Correspondence

Pablo Minces; Victor O. Rivelles

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Chern-Simons Theories in the AdS/CFT Correspondence

Pablo Minces, Victor O. Rivelles

High Energy Physics - Theory · Submitted 17 Feb 1999

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

The authors' main claim In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,563 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.54 · mentions code or data availability 0.01.

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We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also discuss particular limits where we find the two-point function of the boundary conformal field theory for the Maxwell-Chern-Simons theory. In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.

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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 consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions.	background 0.60	0.42	0.05	asserted 0.51
s1	We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model.	result 0.68	0.95	0.14	asserted 1.00
s2	We also discuss particular limits where we find the two-point function of the boundary conformal field theory for the Maxwell-Chern-Simons theory.	result 0.54	0.89	0.08	asserted 0.99
s3	In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.	interpretation 0.84	0.71	0.52	hedged possibility 0.99

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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full text
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S sections
T body sentences
C citations
R cross-paper relations

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The paper

Original abstract

We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also discuss particular limits where we find the two-point function of the boundary conformal field theory for the Maxwell-Chern-Simons theory. In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.

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References

Forward citations

Cited by 4 Pith papers

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

Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
hep-th 2009-01 conditional novelty 6.0 of 10

D-brane and supergravity constructions in AdS/CFT reproduce the Hall conductivity, edge states, and hierarchical filling fractions of the fractional quantum Hall effect.
AdS${}_3$/BCFT${}_2$ correspondence and 't Hooft anomaly of U(1) symmetry
hep-th 2026-11 accept novelty 5.0 of 10

In the AdS3/BCFT2 correspondence with a Maxwell-Chern-Simons gauge field, the BCFT current is not conserved at the boundary, realizing the 't Hooft anomaly obstruction.
Holographic applications of logarithmic conformal field theories
hep-th 2013-02 accept novelty 3.0 of 10

Critically tuned anti-de Sitter gravity theories are conjectured to be dual to logarithmic conformal field theories, and this review assembles the correlator and partition-function evidence for that correspondence.
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

5 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 · 2 sentences without a confident label

Cites it as background 4 papers

The equivalence between the SD and MCS models was initially established by Deser and Jackiw [ref] , and since then several studies of this equivalence were carried out in the literature [ref] .

Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace · Introduction · 0.84
These fields are described by a first-order Lagrangian discussed in [ref] and have been analyzed in the context of the AdS/CFT correspondence in [ref] [At the level of free field theory one can establish an equivalence between the first order formalism and a second order formalism with a conventional kinetic energy term and a Chern-Simons mass term as in [ref] but is is not clear that this equivalence can be established when interactions are included.].

Completing the framework of AdS/QCD: h_1/b_1 mesons and excited omega/rho's · Field-operator correspondence and quadratic action · 0.80
The massive sector has also received some attention and the holographic dictionary problem has been studied to some extent [ref] .

Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2 · Introduction · 0.98

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