We consider an interface between two non-Abelian quantum Hall states: the Moore-Read state, supporting Ising anyons, and the $k=2$ non-Abelian spin-singlet state, supporting Fibonacci anyons. It is shown that the interface supports neutral excitations described by a ($1+1$)-dimensional conformal field theory with a central charge $c=7/10$. We discuss effects of the mismatch of the quantum statistical properties of the quasiholes between the two sides, as reflected by the interface theory.

• Received 20 October 2008

DOI:https://doi.org/10.1103/PhysRevLett.103.076803