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Symmetries in noncommutative field theories: Hopf versus Lie

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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D. V. Vassilevich

High Energy Physics - Theory · Submitted 26 Nov 2007

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

The authors' main claim New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product).

how it is stated · asserted 0.68 read the record →

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arXiv ID0711.4091 (version 1)
Pith IDU5LB5FXI, Pith's permanent record of this paper and its review
CitationD. V. Vassilevich. "Symmetries in noncommutative field theories: Hopf versus Lie." arXiv:0711.4091 (2007). https://pith.science/paper/U5LB5FXI
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, 2,313 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.23 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product).

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 I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. background 0.84 0.64 0.08 asserted 0.68
s1 New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product). contribution 0.62 0.94 0.47 asserted 0.68

What kind of paper the classifier reports this is: theoretical result 0.83 · evidence from proof or derivation 0.94.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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

I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product).

Human review

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How the literature uses it

5 arXiv papers cite this in 5 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 · 4 sentences without a confident label

Compares with it 1 paper

What it cites · 26 sentences without a confident label

Uses the method or tool of 2 papers
Cites as background 14 papers
  • Afterwards twisted conformal symmetries [ref] , twisted diffeomorphisms [ref] , and twisted gauge symmetries [ref] were constructed (to mention bosonic symmetries only).

    Twist to close · Twisted symmetries · 0.91

  • Afterwards twisted conformal symmetries [ref] , twisted diffeomorphisms [ref] , and twisted gauge symmetries [ref] were constructed (to mention bosonic symmetries only).

    Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory · Twisted symmetries · 0.91

  • Afterwards twisted conformal symmetries [ref] , twisted diffeomorphisms [ref] , and twisted gauge symmetries [ref] were constructed (to mention bosonic symmetries only).

    Twisted Gauge Theories · Twisted symmetries · 0.91

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