  The paradigmatic models often used to highlight cosmological features of loop
quantum gravity and group field theory are shown to be equivalent, in the sense
that they are different realizations of the same model given by harmonic
cosmology. The loop version of harmonic cosmology is a canonical realization,
while the group-field version is a bosonic realization. The existence of a
large number of bosonic realizations suggests generalizations of models in
group field cosmology.
