Noncommutative Yang-Mills from equivalence of star products

Branislav Jurco; Peter Schupp

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Noncommutative Yang-Mills from equivalence of star products

Branislav Jurco, Peter Schupp

High Energy Physics - Theory · Submitted 7 Jan 2000

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

The authors' main claim It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the D-brane world-volume.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.37 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the D-brane world-volume.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the D-brane world-volume.	result 0.90	0.87	0.92	asserted 1.00

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

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arXiv listing abstract v3

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C citations
R cross-paper relations

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The paper

Original abstract

It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the D-brane world-volume.

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References

Forward citations

Cited by 7 Pith papers

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

Constraining non-commutative geometry with W/Z+jet production at the LHC
hep-ph 2025-12 conditional novelty 6.0 of 10

Non-commutative spacetime corrections to W/Z+jet production appear at first order in Θ, and ATLAS Z+jet data constrain the non-commutative scale to Λ ≳ 2 TeV.
Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
hep-th 2012-07 conditional novelty 6.0 of 10

A membrane sigma-model on an R-flux background reduces to a twisted Poisson sigma-model on phase space whose boundary correlators reproduce Kontsevich's nonassociative star product, which also equals a Lie 2-group con...
Emergent Gravity from Noncommutative Gauge Theory
hep-th 2007-08 conditional novelty 6.0 of 10

The matrix-model action for noncommutative U(n) gauge theory is reinterpreted as SU(n) gauge theory coupled to an emergent metric determined by a dynamical Poisson structure.
Gauge Theory on Noncommutative Spaces
hep-th 2000-01 conditional novelty 6.0 of 10

Gauge theories on three classes of noncommutative spaces (constant, Lie-algebra, and quantum-plane commutators) are constructed from covariant coordinates, with Seiberg-Witten maps given to low order in the deformatio...
Twisted Gauge Theories
hep-th 2006-03 conditional novelty 5.0 of 10

Twisting the gauge coproduct yields consistent noncommutative gauge theories with enveloping algebra valued connections, whose extra vector fields decouple as the deformation parameter goes to zero.

Show 2 more citing papers

Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces
hep-th 2000-06 conditional novelty 5.0 of 10

Enveloping-algebra-valued gauge transformations on noncommutative spaces have all their infinitely many components determined by the ordinary Lie-algebra fields through the Seiberg-Witten map, leaving a finite number ...
Emergent Geometry and Gravity from Matrix Models: an Introduction
hep-th 2010-03 conditional novelty 3.0 of 10

A pedagogical review argues that Yang-Mills matrix models, especially the D=10 IKKT model, can produce emergent noncommutative gravity with harmonic and Einstein branches.

How the literature uses it

14 arXiv papers cite this in 17 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 · 12 sentences without a confident label

Uses its method or tool 1 paper

To obtain an all order solution to the Seiberg-Witten map, we follow the approach of [ref] which was applied to the Poisson bracket $U(1)$ gauge theory.

More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map · Seiberg-Witten map · 0.94

Cites it as background 4 papers

Among the various models and ideas that were considered, the covariant enveloping algebra approach based on Seiberg-Witten (SW) maps [ref] is uniquely singled out as being capable of providing a minimal extension (deformation) of virtually any gauge field theory model.

Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory · Introduction · 0.80
Significant progress has been obtained in the so-called Seiberg-Witten (SW) maps [ref] and enveloping algebra based models where one could deform commutative gauge theories with arbitrary gauge group and representation [ref] .

High energy cosmic rays experiments inspired by noncommutative quantum field theory · Introduction · 0.96
The relevance of Darboux coordinates for emergent gravity has been emphasized in [ref] in the context of the DBI action; see also [ref] for related discussion.

Emergent Gravity, Matrix Models and UV/IR Mixing · Tensors and coordinate transformation $y →x$ · 0.86

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