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Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions

High Energy Physics - Theory · Submitted 11 Mar 1999

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

The authors' main claim We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds.

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arXiv IDhep-th/9903104 (version 3)
Pith IDF7HCRRQN, Pith's permanent record of this paper and its review
CitationDuiliu-Emanuel Diaconescu, Govindan Rajesh. "Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions." arXiv:hep-th/9903104 (1999). https://pith.science/paper/F7HCRRQN
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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, 3,746 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential.

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 use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. contribution 0.62 0.93 0.09 asserted 0.98
s1 When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. result 0.89 0.43 0.11 asserted 0.99
s2 We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. result 0.78 0.95 0.20 asserted 0.82
s3 We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential. method 0.73 0.92 0.15 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.98.

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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 use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential.

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7 arXiv papers cite this in 19 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 · 15 sentences without a confident label

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Cites it as background 2 papers

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