  Experimental evidence was recently obtained for topological superconductivity
in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave
superconductor. When only part of the wire contacts the superconductor, a
localized Majorana mode exists at the junction between superconducting and
normal parts of the nanowire. We consider here the case of a T-junction between
the superconductor and two normal nanowires and also the case of a single wire
with two (or more) partially filled bands in the normal part. We find that
coupling this 2-channel Luttinger liquid to the single Majorana mode at the
junction produces frustration, leading to a critical point separating phases
with perfect Andreev scattering in one channel and perfect normal scattering in
the other.
