  We predict that junctions between an antiferromagnetic insulator and a
superconductor provide a robust platform to create a one-dimensional
topological superconducting state. Its emergence does not require the presence
of intrinsic spin-orbit coupling nor non-collinear magnetism, but arises solely
from repulsive electronic interactions on interfacial solitonic states. We
demonstrate that a topological superconducting state is generated by repulsive
interactions at arbitrarily small coupling strength, and that the size of the
topological gap rapidly saturates to the one of the parent trivial
superconductor. Our results put forward antiferromagnetic insulators as a new
platform for interaction-driven topological superconductivity.
