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From Local to Global in F-Theory Model Building

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Bjorn Andreas, Gottfried Curio

High Energy Physics - Theory · Submitted 24 Feb 2009

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

The authors' main claim Globally the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities.

how it is stated · asserted 0.96 read the record →

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arXiv ID0902.4143 (version 1)
Pith IDVA3KYV3Y, Pith's permanent record of this paper and its review
CitationBjorn Andreas, Gottfried Curio. "From Local to Global in F-Theory Model Building." arXiv:0902.4143 (2009). https://pith.science/paper/VA3KYV3Y
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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, 4,267 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

When locally engineering F-theory models some D7-branes for the gauge group factors are specified and matter is localized on the intersection curves of the compact parts of the world-volumes. In this note we discuss to what extent one can draw conclusions about F-theory models by just restricting the attention locally to a particular seven-brane. Globally the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities. Many special intersecting loci which were not chosen by hand occur inevitably, notably codimension three loci which are not intersections of matter curves. We describe these complications specifically in a global SU(5) model and also their impact on the tadpole cancellation condition.

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 When locally engineering F-theory models some D7-branes for the gauge group factors are specified and matter is localized on the intersection curves of the compact parts of the world-volumes. background 1.00 0.10 0.04 asserted 1.00
s1 In this note we discuss to what extent one can draw conclusions about F-theory models by just restricting the attention locally to a particular seven-brane. contribution 0.94 0.47 0.10 unclear 0.88
s2 Globally the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities. result 0.80 0.40 0.40 asserted 0.96
s3 Many special intersecting loci which were not chosen by hand occur inevitably, notably codimension three loci which are not intersections of matter curves. result 1.00 0.68 0.32 asserted 1.00
s4 We describe these complications specifically in a global SU(5) model and also their impact on the tadpole cancellation condition. contribution 0.97 0.90 0.16 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.64 · evidence from proof or derivation 0.54.

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  • 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

When locally engineering F-theory models some D7-branes for the gauge group factors are specified and matter is localized on the intersection curves of the compact parts of the world-volumes. In this note we discuss to what extent one can draw conclusions about F-theory models by just restricting the attention locally to a particular seven-brane. Globally the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities. Many special intersecting loci which were not chosen by hand occur inevitably, notably codimension three loci which are not intersections of matter curves. We describe these complications specifically in a global SU(5) model and also their impact on the tadpole cancellation condition.

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References
How the literature uses it

39 arXiv papers cite this in 50 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 · 18 sentences without a confident label

Builds on it 1 paper
  • This can be generalized to more complicated degenerations in higher codimension [ref] .

    F-theory uplifts and GUTs · Single del Pezzo transition · 0.90

Uses its method or tool 2 papers
  • For general elliptic fibrations, a mechanism to compute the effect of the singularities was developed in [ref] .

    Global F-theory GUTs · Geometric tadpoles · 0.87

  • E.g. the computation of the relevant Euler characteristic, either directly [ref] or via the method proposed for a certain class of geometries in [ref] , requires explicit control of the singularities of $Y$.

    F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds · Calabi-Yau fourfolds in toric ambient spaces · 0.83

Compares with it 1 paper
  • We have checked by comparison both with the result of a brute-force toric computation and of the method of [ref] that this yields the correct value even for models without a heterotic dual.

    Global F-theory GUTs · Conclusions · 0.97

Cites it as background 24 papers
  • In the last year local F-theory GUT constructions have been proposed [ref] as a particularly attractive class of bottom-up configurations with a number of phenomenological virtues (see [ref] , as well as [ref] for other recent developments).

    Matter wave functions and Yukawa couplings in F-theory Grand Unification · Introduction · 0.86

  • Recent work on F-theory GUTs in [ref] (see also [ref] ) has shown that many realistic features of particle phenomenology naturally emerge, with potentially observable consequences for the LHC [ref] and upcoming neutrino experiments [ref] .

    The Point of E_8 in F-theory GUTs · Introduction · 0.89

  • See [ref] for recent work on F-theory based models of Grand Unified Theories (F-theory GUTs).

    The Footprint of F-theory at the LHC · Introduction · 1.00

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