Baryon-Lepton Duplicity as the Progenitor of Long-Lived Dark Matter

In an $SU(2)_R$ extension of the standard model, it is shown how the neutral fermion $N$ in the doublet $(N,e)_R$ may be assigned baryon number $B=1$, in contrast to its $SU(2)_L$ counterpart $ u$ in the doublet $( u,e)_L$ which has lepton number $L=1$. This baryon-lepton duplicity allows a scalar $sigma$ which couples to $N_L N_L$ to be long-lived dark matter.