Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: F-theory over a Fano threefold built from $A_{4}$-roots   In a previous paper, the authors showed the advantages of building a
$\mathbb{Z}_{2}$-action into an $F$-theory model $W_{4}/B_{3}$, namely the
action of complex conjugation on the complex algebraic group with compact real
form $E_{8}$. The goal of this paper is to construct the Fano threefold $B_{3}$
directly from the roots of $SU\left(5\right)$ in such a way that the action of
complex conjugation is exactly the desired $\mathbb{Z}_{2}$-action and the
quotient of this action on $W_{4}/B_{3}$ and its Heterotic dual have the
phenomenologically correct invariants.

34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph