  We consider a chiral spin liquid constructed using the parton theory. This
state supports non-Abelian anyons and neutral fermions, which share some
similarities with the celebrated Moore-Read state. The edge physics of the
parton state and the Moore-Read state is very different. Based on conformal
field theory (CFT) analysis, it is proposed that the edge states exhibit an
emergent SO(5) symmetry. The counting of edge states in the low-lying
SO(5)$_{1}$ CFT towers is computed. The chiral spin liquid is generated using
tensor network methods, which allows us to confirm the SO(5)$_{1}$ counting
using entanglement spectrum. An additional feature of multiple branches in the
entanglement spectrum is observed and analyzed.

Strongly Correlated Electrons