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Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology
High Energy Physics - Theory · Submitted 22 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We give a global algebraic description of the four-form flux in F-theory.
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The abstract, sentence by sentence
We give a global algebraic description of the four-form flux in F-theory. We present how to compute its D3-tadpole and how to calculate the number of four-dimensional chiral states at the intersection of 7-branes directly in F-theory. We check that, in the weak coupling limit, we obtain the same results as using perturbative type IIB string theory. We develop these techniques in full generality. However, they can be readily applied to concrete models, as we show in an explicit example.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We give a global algebraic description of the four-form flux in F-theory. | contribution 1.00 | 0.96 | 0.45 | asserted 1.00 |
| s1 | We present how to compute its D3-tadpole and how to calculate the number of four-dimensional chiral states at the intersection of 7-branes directly in F-theory. | contribution 0.80 | 0.93 | 0.28 | asserted 0.99 |
| s2 | We check that, in the weak coupling limit, we obtain the same results as using perturbative type IIB string theory. | result 0.92 | 0.94 | 0.12 | asserted 1.00 |
| s3 | We develop these techniques in full generality. | contribution 0.93 | 0.93 | 0.08 | asserted 1.00 |
| s4 | However, they can be readily applied to concrete models, as we show in an explicit example. | contribution 0.71 | 0.90 | 0.10 | asserted 0.93 |
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The paper
Original abstract
We give a global algebraic description of the four-form flux in F-theory. We present how to compute its D3-tadpole and how to calculate the number of four-dimensional chiral states at the intersection of 7-branes directly in F-theory. We check that, in the weak coupling limit, we obtain the same results as using perturbative type IIB string theory. We develop these techniques in full generality. However, they can be readily applied to concrete models, as we show in an explicit example.
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References
How the literature uses it
5 arXiv papers cite this in 5 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 4 papers
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To a large extent this feature of F-theory justifies the considerable effort spent in developing the theoretical tools behind model building in the last few years, trying to address the significantly increased technical difficulties involved in computing important physical aspects of the backgrounds (when compared to the weakly coupled IIB approach), such as quantum corrections to Kähler potentials [ref] , non-chiral spectra [ref] , D3/M5-instanton effects [ref] , or fluxes on 7-branes [ref]
$E_6$ Yukawa couplings in F-theory as D-brane instanton effects · Introduction · 0.91
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Recent works have made significant progress in understanding the physics of F-theory compactifications, including globally consistent models [ref] , $U(1)$ symmetries [ref] , instanton corrections [ref] , the physics of codimension two and three singularities [ref] , and chirality inducing $G_4$-flux [ref] ; there has also been progress in understanding the landscape of six-dimensional F-theory compactifications [ref] .
Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-theory · Introduction · 0.99
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Since then, there has been significant progress in understanding F-theory compactifications to four dimensions, including globally consistent models [ref] , $U(1)$ symmetries [ref] , instanton corrections [ref] , and chirality inducing $G_4$-flux [ref] ; there has also been progress in understanding the landscape of six-dimensional F-theory compactifications [ref] .
Matter From Geometry Without Resolution · Introduction · 0.99
What it cites · 18 sentences without a confident label
Cites as background 15 papers
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Only in the past year has a deep study of global constructions of the $G_4$ flux been undertaken [ref] .
Gauge Fluxes in F-theory and Type IIB Orientifolds · Introduction · 0.90
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Only in the past year has a deep study of global constructions of the $G_4$ flux been undertaken [ref] .
G_4 flux, chiral matter and singularity resolution in F-theory compactifications · Introduction · 0.90
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Only in the past year has a deep study of global constructions of the $G_4$ flux been undertaken [ref] .
A Note on G-Fluxes for F-theory Model Building · Introduction · 0.90
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