Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unifying left-right symmetry and 331 electroweak theories   We propose a realistic theory based on the $\mathrm{SU(3)_c \otimes SU(3)_L
\otimes SU(3)_R \otimes U(1)_{X}}$ gauge group which requires the number of
families to match the number of colors. In the simplest realization neutrino
masses arise from the canonical seesaw mechanism and their smallness correlates
with the observed V-A nature of the weak force. Depending on the symmetry
breaking path to the Standard Model one recovers either a left-right symmetric
theory or one based on the $\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)}$
symmetry as the "next" step towards new physics.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th