Comments on noncommutative gravity

Frank Meyer; Luis Alvarez-Gaume; Miguel A. Vazquez-Mozo

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Comments on noncommutative gravity

Luis Alvarez-Gaume, Frank Meyer, Miguel A. Vazquez-Mozo

High Energy Physics - Theory · Submitted 11 May 2006

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

The authors' main claim We find that the resulting low-energy theory contains more interaction terms than those proposed in noncommutative deformations of gravity.

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,138 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.49 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study the possibility of obtaining noncommutative gravity dynamics from string theory in the Seiberg-Witten limit. We find that the resulting low-energy theory contains more interaction terms than those proposed in noncommutative deformations of gravity. The role of twisted diffeomorphisms in string theory is studied and it is found that they are not standard physical symmetries. It is argued that this might be the reason why twisted diffeomorphisms are not preserved by string theory in the low energy limit. Twisted gauge transformations are also discussed.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the possibility of obtaining noncommutative gravity dynamics from string theory in the Seiberg-Witten limit.	contribution 0.98	0.75	0.05	hedged possibility 0.93
s1	We find that the resulting low-energy theory contains more interaction terms than those proposed in noncommutative deformations of gravity.	result 1.00	0.95	0.45	asserted 1.00
s2	The role of twisted diffeomorphisms in string theory is studied and it is found that they are not standard physical symmetries.	result 0.97	0.90	0.27	asserted 1.00
s3	It is argued that this might be the reason why twisted diffeomorphisms are not preserved by string theory in the low energy limit.	interpretation 1.00	0.41	0.20	speculative 0.91
s4	Twisted gauge transformations are also discussed.	contribution 0.99	0.61	0.03	unclear 0.60

What kind of paper the classifier reports this is: position or commentary 0.52 · evidence from proof or derivation 0.75.

What was examined, and what was not

sources read

arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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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

We study the possibility of obtaining noncommutative gravity dynamics from string theory in the Seiberg-Witten limit. We find that the resulting low-energy theory contains more interaction terms than those proposed in noncommutative deformations of gravity. The role of twisted diffeomorphisms in string theory is studied and it is found that they are not standard physical symmetries. It is argued that this might be the reason why twisted diffeomorphisms are not preserved by string theory in the low energy limit. Twisted gauge transformations are also discussed.

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References

Forward citations

Cited by 2 Pith papers

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

Twisting all the way: from Classical Mechanics to Quantum Fields
hep-th 2007-08 conditional novelty 5.0 of 10

A single twist deformation applied consistently to classical mechanics, classical fields, and quantum fields yields a noncommutative correspondence principle in which star-Poisson brackets map to star-commutators.
Symmetry, Gravity and Noncommutativity
hep-th 2006-06 accept novelty 2.0 of 10

Noncommutative Yang-Mills theory can be recast as a teleparallel gravity theory, and twisted spacetime symmetries provide a route to a noncommutative deformation of general relativity.

How the literature uses it

24 arXiv papers cite this in 40 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 · 25 sentences without a confident label

Contests it 1 paper

([ref]), i.e. the product of fields is indeed transforms covariantly, and thus the criticism expressed in [ref] and in [ref] , [ref] does not apply.

Diffeomorphism-invariant noncommutative gravity with twisted local Lorentz invariance · Symmetries of noncommutative General Relativity · contest 0.83

Builds on it 1 paper

Wormhole solutions encoding nonassociative data from in string theory are constructed and analysed [ref] .[ We cite the results for nonholonomic associative and commutative theories which will be extended in nonassociative forms in this paper.] Such a program on nonassociative geometry and physics spans a wide area of innovative research in nonassociative and noncommutative geometry with R-flux deformations [ref] and mathematical particle physics and gravity [ref] .

Nonassociative geometric and quantum information flows and R-flux deformations of wormhole solutions in string gravity · Introduction · 0.90

Uses its method or tool 1 paper

Following [ref] , we start with the weak field expansion around flat spacetime.

Physical implications of four dimensional braided noncommutative gravity · Three-graviton vertex · 0.98

Compares with it 1 paper

Surprisingly, the result ([ref]) is identical to the three-graviton vertex obtained in [ref] .

Physical implications of four dimensional braided noncommutative gravity · Three-graviton vertex · 1.00

Cites it as background 7 papers

This so-called twist approach has become quite popular recently, see, e.g., [ref] .

Dispersion relations in quantum electrodynamics on the noncommutative Minkowski space · Introduction · 0.88
For details see [ref] .

A note on the implementation of Poincar\'e symmetry in noncommutative field theory · Twisted space-time symmetries defined from covariance of the star-product · 0.99
Much is known about nonassociative gravity, nonassociative gauge theories, nonassociative membrane theory and double field theory, from string theory [ref] .

Nonassociative black holes in R-flux deformed phase spaces and relativistic models of G. Perelman thermodynamics · Introduction · 0.99

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