  We devise a number-conserving scheme for the realization of Majorana Zero
Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. The
latter provide an efficient mechanism to cancel single-particle hopping by
destructive interference. The crucial parity symmetry in each wire is thus
encoded in the geometry of the setup, in particular, its translation
invariance. A generic nearest-neighbor interaction generates the desired
correlated hopping of pairs. We exhibit the presence of an extended topological
region in parameter space, first in a simplified effective model via
bosonization techniques, and subsequently in a larger parameter regime with
matrix-product-states numerical simulations. We demonstrate the adiabatic
connection to previous models, including exactly-solvable ones, and we briefly
comment on possible experimental realizations in synthetic quantum platforms,
like cold atomic samples.
