Pith. Sign in

RECORD

Beyond the Planar Limit in ABJM

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Robert de Mello Koch, Badr Awad Elseid Mohammed, Jeff Murugan, Andrea Prinsloo

High Energy Physics - Theory · Submitted 22 Feb 2012

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

The authors' main claim We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a nonplanar large N limit.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1202.4925 (version 2)
Pith IDLIJPGI2J, Pith's permanent record of this paper and its review
CitationAndrea Prinsloo, Badr Awad Elseid Mohammed, Jeff Murugan, Robert de Mello Koch. "Beyond the Planar Limit in ABJM." arXiv:1202.4925 (2012). https://pith.science/paper/LIJPGI2J
Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,172 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.93 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.27 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In this article we consider gauge theories with a U(N)X U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate non-planar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a nonplanar large N limit.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this article we consider gauge theories with a U(N)X U(N) gauge group. background 0.90 0.45 0.02 asserted 0.89
s1 We provide, for the first time, a complete set of operators built from scalar fields that are in the bi fundamental of the two groups. contribution 0.97 0.96 0.09 asserted 1.00
s2 Our operators diagonalize the two point function of the free field theory at all orders in 1/N. result 0.70 0.95 0.14 asserted 1.00
s3 We then use this basis to investigate non-planar anomalous dimensions in the ABJM theory. contribution 0.58 0.91 0.09 asserted 0.77
s4 We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a nonplanar large N limit. result 0.80 0.94 0.71 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this article we consider gauge theories with a U(N)X U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate non-planar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a nonplanar large N limit.

Human review

How Pith checks papers → · Full audit of this paper →

References
How the literature uses it

10 arXiv papers cite this in 23 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 · 17 sentences without a confident label

Contests it 1 paper
  • Second, we want to point out that operators from different $n_IJ$ sectors are not orthogonal, which corrects a statement in [ref] .

    Finite N Quiver Gauge Theory · Correlators · contest 0.94

Uses its method or tool 1 paper
  • Thus, we can use the restricted Schur polynomials [ref] to build a basis for the local operators of the quiver [ref] .

    Finite N Quiver Gauge Theory · Summary and Conclusions · 0.88

Compares with it 1 paper
  • The computation of [ref] gives [equation] [equation] [equation] [equation] where [equation] The combination $Ô_j,j^3(b_0,b_1)$ in [ref] differs from the ones obtained in the case of $N=4$ SYM theory and ABJM theory [ref] , since it depends on both $M$ and $N$.

    Nonplanar Integrability and Parity in ABJ Theory · Spectrum of Anomalous Dimensions · 0.91

Cites it as background 2 papers
  • For quiver gauge theories, there are two distinct approaches that have been developed to study the finite $N$ physics [ref] [For earlier work, focusing on essentially single matrix dynamics, see [ref] ].

    Finite N Quiver Gauge Theory · Summary and Conclusions · 0.97

  • The studies were extended beyond $=4$ SYM to gauge theories such as ABJM [ref] and the conifold [ref] .

    Quivers, Words and Fundamentals · Introduction · 0.80

What it cites · 28 sentences without a confident label

Builds on 1 paper
  • The extension to operators whose labels $R,{ r}$ are all Young diagrams with $p$ long rows is also possible; in this case $U(p)$ group theory is used [ref] .

    Giant Graviton Oscillators · Action of the Dilatation Operator · 0.88

Uses the method or tool of 4 papers
  • Using the ideas developed in [ref] we find after a straight forward but tedious computation

    Nonplanar Integrability · Action of the Dilatation Operator · 0.98

  • Using the ideas developed in [ref] we find after a straight forward but tedious computation

    Giant Graviton Oscillators · Action of the Dilatation Operator · 0.98

  • Using the methods of [ref] , it is straight forward to obtain

    Emergent Threebrane Lattices · Action of the Dilatation Operator · 1.00

Compares with 2 papers
  • It is straight forward to see that in this continuum limit, the action found for the dilatation operator in the previous section reduces to the continuum limit of the action of the dilatation operator studied in [ref] .

    Nonplanar Integrability · Spectrum of Anomalous Dimensions · 0.94

  • This choice of normalization makes the present problem look as similar as possible to that of [ref] .

    Surprisingly Simple Spectra · Action of the Dilatation Operator · 0.96

Cites as support 1 paper
Cites as background 13 papers

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.