S-Duality and Noncommutative Gauge Theory

Andrew Strominger; Juan Maldacena; Rajesh Gopakumar; Shiraz Minwalla

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S-Duality and Noncommutative Gauge Theory

Rajesh Gopakumar, Juan Maldacena, Shiraz Minwalla, Andrew Strominger

High Energy Physics - Theory · Submitted 4 May 2000

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

The authors' main claim It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings.

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arXiv IDhep-th/0005048 (version 2)

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CitationAndrew Strominger, Juan Maldacena, Rajesh Gopakumar, Shiraz Minwalla. "S-Duality and Noncommutative Gauge Theory." arXiv:hep-th/0005048 (2000). https://pith.science/paper/G2MBRNFG

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.01.

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It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings.	background 0.81	0.07	0.66	speculative 1.00
s1	Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram.	result 0.88	0.71	0.12	asserted 0.93
s2	The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.	interpretation 0.78	0.13	0.07	asserted 0.60

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.86.

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The paper

Original abstract

It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.

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How the literature uses it

38 arXiv papers cite this in 79 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 · 51 sentences without a confident label

Compares with it 3 papers

This theory is equivalent to the inter-branched D3-brane action in [ref] , which is closely related to noncommutative Yang-Mills (NCYM) theory [ref] .

Anisotropic Compactification of Nonrelativistic M-Theory · Inter-Branched D3-Brane Revisited · 0.91
Because the chain of duality involved S-duality at one point, what we are doing is similar in spirit to defining NCOS as the strong coupling limit of NCSYM [ref] .

Microscopic Formulation of Puff Field Theory · Introduction · 0.86
Now, the $α̂' →0$ limit reproduces the NCYM limit in [ref] up to a rescaling factor of $𝒢̂_ij$ .

Dual D-Brane Actions in Nonrelativistic String Theory · Nonrelativistic string limit of dual D3-brane · 1.00

Cites it as support 1 paper

This perspective was vindicated very recently in [ref] , by showing through explicit computation that D-branes as described by the intrinsic Gomis-Ooguri formalism [ref] indeed give rise to a curved background that matches the one obtained in [ref] .

Asymptotically Nonrelativistic String Backgrounds · Introduction and Summary · 0.97

Cites it as background 18 papers

The background presented in [ref] as the supergravity dual of NCOS$_p+1$ was derived by taking the NR limit of a black brane in the parent string theory sourced by $K$ longitudinal D-branes with F1 charge density $ν$.

Geometry from D-branes in Nonrelativistic String Theory · Background description · 0.96
NR string theory was uncovered as a 10-dimensional framework unifying the $p$-dimensional noncommutative open string (NCOS) theories [ref] , originally thought to be surprising examples of string theories that did not contain gravity.

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Within relativistic string theory, the resulting background was worked out long ago in [ref] , and the string NR limit $c→∞$ with scaling ([ref]), holding $K̂=K$ and $N̂=N$ fixed, was taken in [ref] .

Asymptotically Nonrelativistic String Backgrounds · Longitudinal RR Black Branes · 0.80

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