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An M-theory Flop as a Large N Duality

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M. Atiyah, J. Maldacena, C. Vafa

High Energy Physics - Theory · Submitted 28 Nov 2000

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

The authors' main claim We show how a recently proposed large $N$ duality in the context of type IIA strings with ${\cal N}=1$ supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory.

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arXiv IDhep-th/0011256 (version 2)
Pith ID3RBJTTZS, Pith's permanent record of this paper and its review
CitationC. Vafa, J. Maldacena, M. Atiyah. "An M-theory Flop as a Large N Duality." arXiv:hep-th/0011256 (2000). https://pith.science/paper/3RBJTTZS
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,353 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.36 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We show how a recently proposed large $N$ duality in the context of type IIA strings with ${\cal N}=1$ supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on $G_2$ holonomy manifolds and an $S^3$ flop are the key ingredients in this derivation.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show how a recently proposed large $N$ duality in the context of type IIA strings with ${\cal N}=1$ supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. contribution 0.82 0.93 0.86 asserted 1.00
s1 The phase structure of M-theory on $G_2$ holonomy manifolds and an $S^3$ flop are the key ingredients in this derivation. method 0.90 0.49 0.12 asserted 1.00

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

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  • C citations
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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

We show how a recently proposed large $N$ duality in the context of type IIA strings with ${\cal N}=1$ supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on $G_2$ holonomy manifolds and an $S^3$ flop are the key ingredients in this derivation.

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References
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39 arXiv papers cite this in 60 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 · 37 sentences without a confident label

Builds on it 2 papers
Compares with it 3 papers
Cites it as support 1 paper
  • Since theories with no normalizable zero modes have a mass gap, the smooth interpolation between such theories and non-abelian supersymmetric gauge theories has been viewed as evidence supporting the statement that non-abelian supersymmetric gauge theories have a mass gap [ref] .

    The String Landscape: On Formulas for Counting Vacua · Introduction · 0.96

Cites it as background 15 papers
  • In M-theory compactified on a singular $G_2$ holonomy manifold $X$, non-Abelian gauge fields live in $R^3,1×Q$ where $Q∈X$ is an associative three-cycle along which there is an orbifold singularity of A-D-E type [ref] , [ref] , [ref] , [ref] , [ref] .

    Scanning the Fluxless $G_2$ Landscape · Threshold corrections · 0.96

  • This setup was discussed in [ref] .

    The quark-gluon plasma and D6-branes on the conifold · M-theory on the $G_2$ holonomy manifoldM-theory on the G2 holonomy manifold · 0.92

  • Recall that in the compactifications we study here, non-Abelian gauge fields arise from co-dimension four singularities [ref] , [ref] , [ref] , [ref] , [ref] .

    Kahler Independence of the G2-MSSM · Moduli stabilization · 0.93

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