  We propose an alternative formulation of a Left-Right Symmetric Model (LRSM)
where the difference between baryon number ($B$) and lepton number ($L$)
remains an unbroken symmetry. This is unlike the conventional formulation,
where $B-L$ is promoted to a local symmetry and is broken explicitly in order
to generate Majorana neutrino masses. In our case $B-L$ remains a global
symmetry after the left-right symmetry breaking, allowing only Dirac mass terms
for neutrinos. In addition to parity restoration at some high scale, this
formulation provides a natural framework to explain $B-L$ as an anomaly-free
global symmetry of the Standard Model and the non-observation of
$(B-L)$-violating processes. Neutrino masses are purely Dirac type and are
generated either through a two loop radiative mechanism or by implementing a
Dirac seesaw mechanism.
