We show that the effective dynamics of the recently proposed isotropic
condensate state of group field theory with Laplacian kinetic operator can be
equivalent to that of homogeneous and isotropic loop quantum cosmology in the
improved dynamics quantization scheme, where the area of elementary holonomy
plaquettes is constant. This constitutes a somewhat surprising example of a
cosmological model of quantum gravity where the operations of minisuperspace
symmetry reduction and quantization can actually commute.Comment: 5 pages. v2: typos corrected, eprint number of Ref. [14] added; v3:
results with interactions include
