  I consider a model of two thin superconducting wires interacting through
Josephson tunneling and Coulomb interactions. It is shown that there is a
parameter range where such a model may have two ground states with different
types of quasi-long-range order: one is superconducting and the other is pair
density wave. It is further shown that boundaries between these different
phases support zero energy Majorana modes and that these modes are robust
against disorder.
