  We study a Majorana-carrying quantum wire, driven into a trivial phase by
breaking the spatial inversion symmetry with a tilted external magnetic field.
Interestingly, we predict that a supercurrent applied in the proximate
superconductor is able to restore the topological phase and therefore the
Majorana end-states. Using Abelian bosonization, we further confirm this result
in the presence of electron-electron interactions and show a profound
connection of this phenomenon to the physics of a one-dimensional doped
Mott-insulator. The present results have important applications in e.g.,
realizing a supercurrent assisted braiding of Majorana fermions, which proves
highly useful in topological quantum computation with realistic Majorana
networks.
