  One of the cornerstones for topological quantum computations is the Majorana
zero mode, which has been intensively searched in fractional quantum Hall
systems and topological superconductors. Several recent works suggest that such
an exotic mode can also exist in a one-dimensional (1D) interacting double-wire
setup even without long-range superconductivity. A notable instability in these
proposals comes from interchannel single-particle tunneling that spoils the
topological ground state degeneracy. Here we show that a 1D Dirac semimetal
(DSM) nanowire is an ideal number-conserving platform to realize such Majorana
physics. By inserting magnetic flux, a DSM nanowire is driven into a 1D
crystalline-symmetry-protected semimetallic phase. Interaction enables the
emergence of boundary Majorana zero modes, which is robust as a result of
crystalline symmetry protection. We also explore several experimental
consequences of Majorana signals.
