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Klein Bottles and Simple Currents

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L. R. Huiszoon, A. N. Schellekens, N. Sousa

High Energy Physics - Theory · Submitted 16 Sep 1999

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

The authors' main claim These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles.

how it is stated · asserted 0.93 read the record →

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arXiv IDhep-th/9909114 (version 2)
Pith ID3P7JLGJM, Pith's permanent record of this paper and its review
CitationA. N. Schellekens, L. R. Huiszoon, N. Sousa. "Klein Bottles and Simple Currents." arXiv:hep-th/9909114 (1999). https://pith.science/paper/3P7JLGJM
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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, 3,572 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.62 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. Other consistent Klein bottle projections are shown to correspond to simple currents. These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. Using (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles.

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 standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. result 0.99 0.81 0.42 asserted 1.00
s1 Other consistent Klein bottle projections are shown to correspond to simple currents. result 0.98 0.90 0.16 asserted 1.00
s2 These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. contribution 0.73 0.88 0.31 asserted 0.93
s3 Using (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles. result 0.93 0.94 0.37 asserted 1.00

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 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

The standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. Other consistent Klein bottle projections are shown to correspond to simple currents. These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. Using (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles.

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References
How the literature uses it

3 arXiv papers cite this in 4 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 · 3 sentences without a confident label

Cites it as background 1 paper
  • An extensive formalism for computing boundary and crosscap states in (rational) CFT was developed in the last decade of last century, starting with work by [ref] , developed further by several groups, including [ref] ; [ref] ; [ref] ; [ref] ; and [ref] , culminating in a simple and general formula [ref] .

    Life at the Interface of Particle Physics and String Theory · Orientifolds and Intersecting Branes · 0.82

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