Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General F-theory models with tuned $(\operatorname{SU}(3) \times
  \operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6$ symmetry   We construct a general form for an F-theory Weierstrass model over a general
base giving a 6D or 4D supergravity theory with gauge group
$(\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1))
/ \mathbb{Z}_6$ and generic associated matter, which includes the matter
content of the standard model. The Weierstrass model is identified by
unHiggsing a model with $\operatorname{U}(1)$ gauge symmetry and charges $q \le
4$ previously found by the first author. This model includes two distinct
branches that were identified in earlier work, and includes as a special case
the class of models recently studied by Cveti\v{c}, Halverson, Lin, Liu, and
Tian, for which we demonstrate explicitly the possibility of unification
through an $\operatorname{SU}(5)$ unHiggsing. We develop a systematic
methodology for checking that a parameterized class of F-theory Weierstrass
models with a given gauge group $G$ and fixed matter content is generic
(contains all allowed moduli) and confirm that this holds for the models
constructed here.

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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
2
The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph