  We propose a new L-R symmetry model where the L-R symmetry transformation
reverses both the L-R chirality and the local quantum number. We add to the
model a global quantum number $F$ whose value is one for fermions (minus one
for anti fermion) and vanishes for bosons. For each standard model (SM)
particle, we have the corresponding L-R dual particle whose mass is very large
and which should have decayed at the current low energy level. Due to the
global quantum number $F$, there is no Majorana neutrino in the model but a
Dirac seesaw mechanism can still occur and the usual three active neutrinos
oscillation can still be realized. We add two leptoquarks and their L-R duals,
for generating the baryon number asymmetry and for facilitating the decay of
the L-R dual particles. The decay of the L-R dual particles will produce a
large entropy to the SM sector and gives a mechanism for avoiding the big bang
nucleosynthesis constraint.
