  We study the entanglement spectrum of the Hubbard model at half filling on a
kagome lattice. The entanglement spectrum is defined by the set of eigenvalues
of reduced thermal density matrix, which is naturally obtained in the framework
of the dynamical mean-field theory. Adopting the cluster dynamical mean-field
theory combined with continuous-time auxiliary-field Monte Carlo method, we
calculate the entanglement spectrum for a three-site triangular cluster in the
kagome Hubbard model. We find that the results at the three-particle sector
well captures the qualitative nature of the system. In particular, the
eigenvalue of the reduced density matrix, corresponding to the chiral degrees
of freedom, exhibits characteristic temperature scale T_{\rm chiral}, below
which a metallic state with large quasiparticle mass is stabilized. The
entanglement spectra at different particle number sectors also exhibit
characteristic changes around T_{\rm chiral}, implying the development of
inter-triangular ferromagnetic correlations in the correlated metallic regime.
