  We study nonchiral wave functions for systems with continuous spins obtained
from the conformal field theory (CFT) of a free, massless boson. In contrast to
the case of discrete spins, these can be treated as bosonic Gaussian states,
which allows us to efficiently compute correlations and entanglement properties
both in one (1D) and in two spatial dimensions (2D). In 1D, the computed
entanglement entropy and spectra are in agreement with the underlying CFT.
Furthermore, we construct a 1D parent Hamiltonian with a low-energy spectrum
corresponding to that of a free, massless boson. In 2D, we find edge
excitations in the entanglement spectrum, although the states do not have
intrinsic topological order, as revealed by a determination of the topological
entanglement entropy.
