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The Ring Structure of Chiral Operators for Minimal Models Coupled to 2D Gravity

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M.H. Sarmadi

High Energy Physics - Theory · Submitted 30 Sep 1992

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

The authors' main claim In addition to the generators of the ghost number zero ring, the existence of a generator of ghost number $-1$ and its inverse is proven and used to construct the entire ring.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9209127 (version 1)
Pith IDNVHA5YWQ, Pith's permanent record of this paper and its review
CitationM.H. Sarmadi. "The Ring Structure of Chiral Operators for Minimal Models Coupled to 2D Gravity." arXiv:hep-th/9209127 (1992). https://pith.science/paper/NVHA5YWQ
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, 2,963 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.09 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

(Talk presented at the 1992 ICTP summer workshop in high energy physics and cosmology) The BRST cohomology ring for $(p,q)$ models coupled to gravity is discussed. In addition to the generators of the ghost number zero ring, the existence of a generator of ghost number $-1$ and its inverse is proven and used to construct the entire ring. Some comments are made regarding the algebra of the vector fields on the ring and the supersymmetric extension.

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 (Talk presented at the 1992 ICTP summer workshop in high energy physics and cosmology) The BRST cohomology ring for $(p,q)$ models coupled to gravity is discussed. background 0.53 0.32 0.07 asserted 0.73
s1 In addition to the generators of the ghost number zero ring, the existence of a generator of ghost number $-1$ and its inverse is proven and used to construct the entire ring. result 0.77 0.90 0.75 asserted 1.00
s2 Some comments are made regarding the algebra of the vector fields on the ring and the supersymmetric extension. contribution 0.68 0.69 0.04 unclear 0.52

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

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

(Talk presented at the 1992 ICTP summer workshop in high energy physics and cosmology) The BRST cohomology ring for $(p,q)$ models coupled to gravity is discussed. In addition to the generators of the ghost number zero ring, the existence of a generator of ghost number $-1$ and its inverse is proven and used to construct the entire ring. Some comments are made regarding the algebra of the vector fields on the ring and the supersymmetric extension.

Human review

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Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper
  • The ring structure of Lian-Zuckerman states for $(q,p)$ minimal models coupled to gravity is shown to be ${\cal R}={\cal R}_0\otimes {\bf C} [w,w^{-1}]$ where ${\cal R}_0$ is the ring of ghost number zero operators generated by two elements and $w$ is an operator of ghost number $-1$.

    BRST cohomology ring in 2D gravity coupled to minimal models · 1.00

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