  We consider the ground state of a theory composed by $M$ species of massless
complex bosons in one dimension coupled together via a conformal interface. We
compute both the R\'enyi entropy and the negativity of a generic partition of
wires, generalizing the approach developed in a recent work for free fermions.
These entanglement measures show a logarithmic growth with the system size, and
the universal prefactor depends both on the details of the interface and the
bipartition. We test our analytical predictions against exact numerical results
for the harmonic chain.
