Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic
  Fluxes   Based on the result of classification in our previous work, we exhaustively
investigate Yukawa sector of $U(8)$ model on magnetized orbifolds
$T^{2}/Z_{2}$, $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$ by evaluating
ratios of the mass eigenvalues of the three states in all the possible
configurations with one and two Higgs pairs where three generations are
realized in fermions. Because of smearing effect via kinetic mixing, one can
realize a hierarchy such as $10^{-2}$-$10^{-3}$, but it is very difficult to
achieve the mass ratio between the up and top quarks
($m_{\text{up}}/m_{\text{top}} \sim 10^{-5}$) on the complicated magnetized
orbifolds $T^{2}/Z_{N}\,(N=3,4,6)$.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol