Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unifying Residual $\mathbb Z^{23}_2 \otimes \mathbb Z^{12}_2$ Symmetries
  and Quark-Lepton Complementarity   The residual $\mathbb Z^{23}_2$ ($\mathbb Z^{\mu\tau}_2$) and $\mathbb
Z^{12}_2$ ($\mathbb Z^s_2$ or $\overline{\mathbb Z}^s_2$) symmetries can not
only apply to the lepton sector, but also explain the mainly $1$--$2$ mixing in
the quark sector. With both up and down quarks subject to the same $\mathbb
Z^{23}_2$ symmetry, which interchanges the second and third generations, the
$1$--$3$ and $2$--$3$ mixing angles in CKM vanish while the Cabibbo angle is
dictated by two residual $\mathbb Z^{12}_2$ symmetries. It turns out that the
quark-lepton complementarity conditions are natural consequences of unifying
residual $\mathbb Z^{23}_2 \otimes \mathbb Z^{12}_2$ symmetries in both lepton
and quark sectors.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th