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Liouville theory without an action

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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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Ari Pakman

High Energy Physics - Theory · Submitted 26 Jan 2006

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

The authors' main claim Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

how it is stated · asserted 0.68 read the record →

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arXiv IDhep-th/0601197 (version 2)
Pith IDEJY7PHLW, Pith's permanent record of this paper and its review
CitationAri Pakman. "Liouville theory without an action." arXiv:hep-th/0601197 (2006). https://pith.science/paper/EJY7PHLW
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,278 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.68 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.90 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

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 We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. result 0.59 0.93 0.55 asserted 1.00
s1 Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction. result 0.87 0.82 0.61 asserted 0.68

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

Human review

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References
How the literature uses it

5 arXiv papers cite this in 10 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 · 8 sentences without a confident label

Cites it as support 1 paper
  • Ultimately, this claim is justified by exact results obtained using the conformal bootstrap [ref] and agrees with the KPZ critical exponents [ref] computed using matrix models [ref] , light-cone quantization [ref] , and canonical quantization [ref] .

    Quantum Cosmology Near Two Dimensions · Renormalization of the Cosmological Constant Operator · 0.96

Cites it as background 1 paper
  • The spacelike structure constants $C(a_1 , a_2, a_3)$ are given by the Dorn–Otto–Zamolodchikov–Zamolodchikov (DOZZ) formula [ref] (see [ref] for more discussions).

    Quantum Gravity from Timelike Liouville theory · Conformal bootstrap for Liouville · 0.83

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