M2-branes and AdS/CFT

Giuseppe Torri; Igor R. Klebanov

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M2-branes and AdS/CFT

Igor R. Klebanov, Giuseppe Torri

High Energy Physics - Theory · Submitted 9 Sep 2009

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

The authors' main claim We discuss its dual formulation in terms of M-theory on AdS_4 x S^7/Z_k and review some of the evidence in favor of the conjecture.

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These notes provide a brief introduction to the ABJM theory, the level k U(N) x U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2-branes. We discuss its dual formulation in terms of M-theory on AdS_4 x S^7/Z_k and review some of the evidence in favor of the conjecture. We end with a brief discussion of the important role played by the monopole operators.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	These notes provide a brief introduction to the ABJM theory, the level k U(N) x U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2-branes.	background 0.55	0.11	0.11	speculative 0.70
s1	We discuss its dual formulation in terms of M-theory on AdS_4 x S^7/Z_k and review some of the evidence in favor of the conjecture.	contribution 0.92	0.44	0.13	asserted 0.76
s2	We end with a brief discussion of the important role played by the monopole operators.	contribution 0.85	0.33	0.09	asserted 0.84

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Original abstract

These notes provide a brief introduction to the ABJM theory, the level k U(N) x U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2-branes. We discuss its dual formulation in terms of M-theory on AdS_4 x S^7/Z_k and review some of the evidence in favor of the conjecture. We end with a brief discussion of the important role played by the monopole operators.

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References

Forward citations

Cited by 8 Pith papers

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

The ${\cal N} = 8$ Superconformal Bootstrap in Three Dimensions
hep-th 2014-06 accept novelty 7.0 of 10

Unitarity plus crossing symmetry, applied to the four-point function of the N=8 stress-tensor multiplet, yields numerical bounds on 3d N=8 SCFTs that nearly saturate at the free U(1)xU(1) and large-N ABJM theories.
The Holography of F-maximization
hep-th 2013-02 conditional novelty 7.0 of 10

A three-parameter family of Euclidean BPS solutions in N=8 gauged supergravity reproduces the localization free energy of ABJM theory on S^3 for arbitrary U(1)_R deformation, providing a gravity-side derivation of F-m...
Supersymmetry enhancement by monopole operators
hep-th 2010-07 accept novelty 6.0 of 10

Monopole operators computed in a Q-exact weak-coupling deformation show that U(N) ABJM theory at k=1,2 and N=4 SQCD with one adjoint and one fundamental hypermultiplet acquire hidden N=8 supersymmetry in the infrared.
Towards integrability for AdS3/CFT2
hep-th 2014-06 accept novelty 3.0 of 10

A self-contained review that assembles, from previously published work, the symmetry-fixed all-loop S matrix and Bethe ansatz for massive AdS3 x S3 x T4 string excitations, including a crossing-symmetric proposal for ...
Lectures on AdS Black Holes, Holography and Localization
hep-th 2019-02 accept novelty 2.0 of 10

Localization computations of a topologically twisted index in the dual conformal field theory reproduce, at large N, the Bekenstein-Hawking entropy of dyonic AdS4 black holes, and the lectures survey the analogous pro...

Show 3 more citing papers

Multiple Membranes in M-theory
hep-th 2012-03 accept novelty 2.0 of 10

The review consolidates how 3-algebra Chern-Simons-matter theories, in particular the ABJM U(n) x U(n) model at level k, describe n M2-branes on a C4/Zk orbifold and supply the field-theory side of an AdS4/CFT3 duality.
Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
hep-th 2011-04 accept novelty 2.0 of 10

A pedagogical derivation shows that the exact sphere free energy of ABJM theory interpolates between the one-loop weak-coupling result and the N^{3/2} supergravity prediction at strong coupling.
Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
hep-th 2010-12 accept novelty 1.0 of 10

The chapter consolidates how planar ABJM theory and IIA strings on AdS4xCP3 both reduce to an alternating OSp(6|4) spin chain, and catalogues where the Bethe equations, S-matrix and algebraic curve differ from the AdS5 case.

How the literature uses it

30 arXiv papers cite this in 45 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 · 22 sentences without a confident label

Cites it as support 1 paper

For $k=1,2$ dressing composite vector currents in the $6_±2$ and scalar operators in the $10_±2$ and $10^*_∓2$ (with $Δ_±=1,2$) with charge 2 monopole operators is crucial to the enhancement of supersymmetry to $= 8$ with full $SO(8)$ R-symmetry [ref] .

Non-perturbative aspects of gauge and string theories and their holographic relations · A quick look at the spectrum · 0.96

Cites it as background 21 papers

Subsequently, a similar $U(N)×U(N)$ gauge theory with CS levels $k$ and $-k$ was proposed by Aharony, Bergman, Jafferis and Maldacena (ABJM) [ref] as a model describing $N$ M2-branes in the $^4/_k$ background (see [ref] for a recent review).

M2-Branes and Fano 3-folds · Introduction · 0.85
For BLG and ABJM the best source is the original papers [ref] and also the review [ref] .

Introductory Lectures on Multiple Membranes · Introduction · 0.94
In the spirit of holography, the seminal observation of Schwarz's [ref] and the subsequent work of Bagger and Lambert [ref] and, independently, of Gustavsson [ref] , motivated Aharony, Bergman, Jafferis and Maldacena (ABJM) [ref] to propose a duality between superconformal Chern-Simons (C-S) theories in $d=3$ dimensions and String / M- theory on $AdS_4$.

Precision Spectroscopy and Higher Spin symmetry in the ABJM model · Introduction · 0.82

What it cites · 37 sentences without a confident label

Uses the method or tool of 1 paper

However, a way to overcome this problem is to embed the ABJM theory in an $𝒩=3$ supersymmetric Yang-Mills-Chern-Simons theory, by adding a Yang-Mills term for the gauge fields in the action [ref] : S_YM = 1/4g^2∫^3 x ∫^2 θ [𝒰^α𝒰_α+ 𝒰̂^α𝒰̂_α], 𝒰_α = 1/4D̅^2 e^𝒱 D_αe^-𝒱, where $𝒱$ is the vector superfield.

Charges of Monopole Operators in Chern-Simons Yang-Mills Theory · Supersymmetry Enhancement and Monopole Operators · 0.95

Cites as support 3 papers

The interaction terms, quadratic in the fermion fields and quartic in the scalars, possess the manifest $SU(4)_R ∼SO(6)_R$ symmetry as well [ref] .

Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence · Non-Abelian Chern-Simons theory · 0.97
Additional geometrical arguments for why the ABJM theory describes $N$ M2-branes on $^4/_k$ are presented in [ref] .

A Stringy Origin of M2 Brane Chern-Simons Theories · Non-Abelian Chern-Simons theory · 0.98
Additional geometrical arguments for why the ABJM theory describes $N$ M2-branes on $^4/_k$ are presented in [ref] .

Higgsing M2-brane Theories · Non-Abelian Chern-Simons theory · 0.98

Cites as background 19 papers

The non-abelian, $U(N)×U(N)$ version of the model we are discussing was proposed in 2008 by Aharony, Bergman, Jafferis and Maldacena in [ref] , and in the literature is often referred to as the ABJM theory.

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals · One M2-brane and Abelian Chern-Simons Theory · 0.94
A breakthrough in the search for a Chern-Simons matter theory with $𝒩=8$ supersymmetry came with the work of Bagger and Lambert [ref] and, independently, Gustavsson [ref] .

Modeling Multiple M2's · Non-Abelian Chern-Simons theory · 0.85
A breakthrough in the search for a Chern-Simons matter theory with $𝒩=8$ supersymmetry came with the work of Bagger and Lambert [ref] and, independently, Gustavsson [ref] .

Algebraic structures on parallel M2-branes · Non-Abelian Chern-Simons theory · 0.85

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