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On the Carrollian Nature of the Light Front

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Sucheta Majumdar

High Energy Physics - Theory · Submitted 14 Jun 2024

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

The authors' main claim We show that theories on the light front possess a Hamiltonian of the magnetic Carroll type, thereby proposing a straightforward method for deriving magnetic Carroll Hamiltonian actions from Lorentzian field theories.

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arXiv ID2406.10353 (version 2)
Pith IDKU33ID4K, Pith's permanent record of this paper and its review
CitationSucheta Majumdar. "On the Carrollian Nature of the Light Front." arXiv:2406.10353 (2024). https://pith.science/paper/KU33ID4K
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The compiled record

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,962 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.16 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Motivated by recent advances in non-Lorentzian physics, we revisit the light-cone formulation of quantum field theories. We discuss some interesting subalgebras within the light-cone Poincar\'e algebra, with a key emphasis on the Carroll, Bargmann, and Galilean kinds. We show that theories on the light front possess a Hamiltonian of the magnetic Carroll type, thereby proposing a straightforward method for deriving magnetic Carroll Hamiltonian actions from Lorentzian field theories.

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 Motivated by recent advances in non-Lorentzian physics, we revisit the light-cone formulation of quantum field theories. background 0.96 0.20 0.02 unclear 0.64
s1 We discuss some interesting subalgebras within the light-cone Poincar\'e algebra, with a key emphasis on the Carroll, Bargmann, and Galilean kinds. contribution 0.89 0.77 0.05 asserted 0.65
s2 We show that theories on the light front possess a Hamiltonian of the magnetic Carroll type, thereby proposing a straightforward method for deriving magnetic Carroll Hamiltonian actions from Lorentzian field theories. result 0.77 0.94 0.86 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.54 · evidence from proof or derivation 0.98.

What was examined, and what was not

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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

Motivated by recent advances in non-Lorentzian physics, we revisit the light-cone formulation of quantum field theories. We discuss some interesting subalgebras within the light-cone Poincar\'e algebra, with a key emphasis on the Carroll, Bargmann, and Galilean kinds. We show that theories on the light front possess a Hamiltonian of the magnetic Carroll type, thereby proposing a straightforward method for deriving magnetic Carroll Hamiltonian actions from Lorentzian field theories.

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References
How the literature uses it

7 arXiv papers cite this in 9 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 · 7 sentences without a confident label

Cites it as support 1 paper
  • The reduction of the Lorentz algebra induced by the light-cone decomposition mirrors the symmetry reduction inherent to Carrollian spacetimes, as shown in [ref] .

    Carroll fermions, expansions and the lightcone · Oddity in odd dimensions and lessons from the lightcone · 0.99

Cites it as background 1 paper

What it cites · 15 sentences without a confident label

Uses the method or tool of 1 paper
  • We now restrict the theory to a constant $x^-$ surface by restricting the domain of $x^-$ to a finite width $ρ$, where $ρ$ is a small constant, using a delta function distribution [ref] δ_ρ(x^- -x^-_0) = 1/ρ , x^-_0 - ρ/2 < x^- < x^-_0 + ρ/2 0 , otherwise .

    Constructing Carrollian Field Theories from Null Reduction · Carroll limits of light-cone actions · 0.95

Compares with 1 paper
  • The light-cone Hamiltonian density exactly matches with the Hamiltonian density obtained in [ref] for $d$-dimensional scalar field theory in the magnetic Carroll case.

    Carroll contractions of Lorentz-invariant theories · Magnetic Carroll actions on the light front · 1.00

Cites as background 5 papers
  • The Carroll group, which arises as the ultrarelativistic (speed of light approaching zero) limit of the Poincaré algebra [ref] , has been linked to symmetries of null hypersurfaces, the BMS symmetry of gravity, and flat-space holography (see [ref] and references therein).

    Carrollian Perspective on Celestial Holography · Introduction · 0.99

  • The Carroll group, which arises as the ultrarelativistic (speed of light approaching zero) limit of the Poincaré algebra [ref] , has been linked to symmetries of null hypersurfaces, the BMS symmetry of gravity, and flat-space holography (see [ref] and references therein).

    Carroll Structures, Null Geometry and Conformal Isometries · Introduction · 0.99

  • The Carroll group, which arises as the ultrarelativistic (speed of light approaching zero) limit of the Poincaré algebra [ref] , has been linked to symmetries of null hypersurfaces, the BMS symmetry of gravity, and flat-space holography (see [ref] and references therein).

    Conformal Carroll groups and BMS symmetry · Introduction · 0.99

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