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Algebraic description of G‐flux in F‐theory: new techniques for F‐theory phenomenology

Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology
Authors: Braun, Andreas P.; Collinucci, Andres; VALANDRO, ROBERTO;

Algebraic description of G‐flux in F‐theory: new techniques for F‐theory phenomenology

Abstract

AbstractWe 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, these can be readily applied to concrete models, as we show in an explicit example.

Countries
Italy, Belgium, Italy
Keywords

High Energy Physics - Theory, F-theory, Physique, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Astronomie, G-flux., Physics and Astronomy (all), M-theory, G-flux, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), F-theory; G-flux.; M-theory; Physics and Astronomy (all), FOS: Mathematics, Algebraic Geometry (math.AG)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Top 10%
Green
bronze