  We show that the SU(3)_C X SU(3)_L X U(1)_X (3-3-1) model of strong and
electroweak interactions can naturally accommodate an extra U(1)_N symmetry
behaving as a gauge symmetry. Resulting theory based on SU(3)_C X SU(3)_L X
U(1)_X X U(1)_N (3-3-1-1) gauge symmetry realizes B-L=-(2/\sqrt{3})T_8+N as a
charge of SU(3)_L X U(1)_N. Consequently, a residual symmetry, W-parity,
resulting from broken B-L in similarity to R-parity in supersymmetry is always
conserved and may be unbroken. There is a specific fermion content recently
studied in which all new particles that have wrong lepton-numbers are odd under
W-parity, while the standard model particles are even. Therefore, the lightest
wrong-lepton particle (LWP) responsible for dark matter is naturally
stabilized. We explicitly show that the non-Hermitian neutral gauge boson (X^0)
as LWP cannot be a dark matter. However, the LWP as a new neutral fermion (N_R)
can be dark matter if its mass is in range 1.9 TeV \leq m_{N_R} \leq 2.5 TeV,
provided that the new neutral gauge boson (Z') mass satisfies 2.2 TeV \leq m_Z'
\leq 2.5 TeV. Moreover, the scalar dark matter candidate (H'\simeq \eta_3)
which has traditionally been studied is only stabilized by W-parity. All the
unwanted interactions and vacuums as often encountered in the 3-3-1 model are
naturally suppressed. And, the standing issues on tree-level flavor changing
neutral currents and CPT violation also disappear.

High Energy Physics - Phenomenology