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Galilean invariance in 2+1 dimensions

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Y. Brihaye, C. Gonera, S. Giller, P. Kosinski

High Energy Physics - Theory · Submitted 8 Mar 1995

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

The authors' main claim It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representations.

how it is stated · hedged possibility 0.94 read the record →

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arXiv IDhep-th/9503046 (version 1)
Pith IDWE4JZDPC, Pith's permanent record of this paper and its review
CitationC. Gonera, P. Kosinski, S. Giller, Y. Brihaye. "Galilean invariance in 2+1 dimensions." arXiv:hep-th/9503046 (1995). https://pith.science/paper/WE4JZDPC
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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, 2,807 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.85 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representations. Their physical interpretation is discussed in some detail.

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 The Galilean invariance in three dimensional space-time is considered. background 0.85 0.43 0.05 asserted 0.88
s1 It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representations. result 0.98 0.57 0.65 hedged possibility 0.94
s2 Their physical interpretation is discussed in some detail. interpretation 0.73 0.76 0.08 asserted 0.81

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.80.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representations. Their physical interpretation is discussed in some detail.

Human review

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References
How the literature uses it

14 arXiv papers cite this in 25 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 · 17 sentences without a confident label

Compares with it 1 paper
  • En la presencia del tercer generador central $Ž$, los �nicos Casimires de la �lgebra son los tres elementos centrales, y entonces, $H$ y $J$ no pueden ser presentados en t�rminos de los generadores de traslaciones y boosts, ver [ref] .

    Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry · Cohomolog�a de Eilenberg-Chevalley de $NH_-$ · 0.92

Cites it as background 6 papers
  • In comparison with the Galilei algebra, described by the generators $J_ij$ (nonrelativistic rotation), $P_i$ (space translations), $K_i$ (nonrelativistic boots) and $H$ (time translations) in NH algebra one relation is deformed for the finite value $R$ of nonrelativistic $(A)dS$ radius [equation] In arbitrary dimension $D$ one can introduce one central charge described by the mass parameter $m$ [equation] If $D=2+1$ one can add second “exotic" central charge $θ$ [ref] [equation] Recently the NH symmetries were enlarged by adding the constant accelerations, described by the generator $F_i$ [ref] .

    Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries · Introduction · 0.94

  • In the case of $2+1$ dimensions, the Galilei group admits two central extensions [ref] , one associated to the exotic non-commuting boost and other appearing in the commutator of the ordinary boost and spatial translations.

    Symmetries of the Free Schr\"odinger Equation in the Non-Commutative Plane · Introduction and results · 0.83

  • In a special non-relativistic limit, that is an Inönü-Wigner contraction, (2+1)D Poincaré symmetry of a free anyon theory is reduced to an exotic Galilei symmetry with two central charges [ref] .

    Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry · Introduction · 0.85

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