Two fundamental aspects of so-called non-Abelian quantum Hall states (the q-Pfaffian states and more general) are a (generalized) pairing of the participating electrons and the non-Abelian statistics of the quasihole excitations. In this paper, we show that these two aspects are linked by a duality relation, which can be made manifest by considering the K-matrices that describe the exclusion statistics of the fundamental excitations in these systems.

• Received 27 August 1999

DOI:https://doi.org/10.1103/PhysRevB.61.10298