Ground State Degeneracy of Gapped Chiral Spin Liquid in Hyperbolic Space

There has been interest in studying hyperbolic versions of models of quantum spin liquids as these models exhibit exotic features not found in the euclidean analogs. Recently, it has been found that the gapped phase at the isotropic point of the generalization of the Kitaev honeycomb model on the hyperbolic lattice, in the presence of time reversal symmetry breaking, exhibits telltale signs of a chiral spin liquid: there is a non-zero Chern number and chiral edge states. In this work, we conduct a numerical study to study the properties of the ground state degeneracy of this phase on the {8,3} hyperbolic lattice. We find that the ground-state degeneracy is consistent with the emergence of a non-abelian topological order, suggesting that this phase could possibly support non-abelian anyons.