Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Left-right symmetry, orbifold $S^1/Z_2$, and radiative breaking of
  $U(1)_{\rm R} \times U(1)_{\rm B-L}$   We study the origin of electroweak symmetry under the assumption that
$SU(4)_{\rm C} \times SU(2)_{\rm L} \times SU(2)_{\rm R}$ is realized on a
five-dimensional space-time. The Pati-Salam type gauge symmetry is reduced to
$SU(3)_{\rm C} \times SU(2)_{\rm L} \times U(1)_{\rm R} \times U(1)_{\rm B-L}$
by orbifold breaking mechanism on the orbifold $S^1/Z_2$. The breakdown of
residual gauge symmetries occurs radiatively via the Coleman-Weinberg
mechanism, such that the $U(1)_{\rm R} \times U(1)_{\rm B-L}$ symmetry is
broken down to $U(1)_{\rm Y}$ by the vacuum expectation value of an $SU(2)_{\rm
L}$ singlet scalar field and the $SU(2)_{\rm L} \times U(1)_{\rm Y}$ symmetry
is broken down to the electric one $U(1)_{\rm EM}$ by the vacuum expectation
value of an $SU(2)_{\rm L}$ doublet scalar field regarded as the Higgs doublet.
The negative Higgs squared mass term is originated from an interaction between
the Higgs doublet and an $SU(2)_{\rm L}$ singlet scalar field as a Higgs
portal. The vacuum stability is recovered due to the contributions from
Kaluza-Klein modes of gauge bosons.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci