Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs   The existence of abelian gauge symmetries in four-dimensional F-theory
compactifications depends on the global geometry of the internal Calabi-Yau
fourfold and has important phenomenological consequences. We study conceptual
and phenomenological aspects of such U(1) symmetries along the Coulomb and the
Higgs branch. As one application we examine abelian gauge factors arising after
a certain global restriction of the Tate model that goes beyond a local
spectral cover analysis. In SU(5) GUT models this mechanism enforces a global
U(1)_X symmetry that prevents dimension-4 proton decay and allows for an
identification of candidate right-handed neutrinos. We invoke a detailed
account of the singularities of Calabi-Yau fourfolds and their mirror duals
starting from an underlying E_8 and E_7 x U(1) enhanced Tate model. The global
resolutions and deformations of these singularities can be used as the
appropriate framework to analyse F-theory GUT models.

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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci