  We investigate a topological superconducting wire with balanced gain and loss
that is effectively described by the non-Hermitian Kitaev/Majorana chain with
parity-time symmetry. This system is shown to possess two distinct types of
unconventional edge modes, those with complex energies and nonorthogonal
Majorana zero modes. The latter edge modes cause nonlocal particle transport
with currents that are localized at the edges and absent in the bulk. This
anomalous particle transport results from the interplay between parity-time
symmetry (non-Hermiticity) and topological superconductivity.
