Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutation Symmetry S_3 and VEV Structure of Flavor-Triplet Higgs
  Scalars   A model with flavor-triplet Higgs scalars \phi_i (i=1,2,3)is investigated
under a permutation symmetry S_3 and its symmetry breaking. A possible S_3
breaking form of the Higgs potential whose vacuum expectation values v_i=<
\phi_i> satisfy a relation v_1^2 +v_2^2 +v_3^2 ={2/3}(v_1 +v_2 +v_3)^2 is
investigated, because if we suppose a seesaw-like mass matrix model M_e = m
M^{-1} m with m_{ij} \propto \delta_{ij} v_i and M_{ij} \propto \delta_{ij},
such a model can lead to the well-known charged lepton mass relation m_e +m_\mu
+m_\tau = {2/3} (\sqrt{m_e}+\sqrt{m_\mu} +\sqrt{m_\tau})^2.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph