The structure of the models

Abstract

Generalized parafermionic theories—characterized by the dimension (r/2)(1 − 1/k) of the basic parafermionic field—provide potentially interesting quantum-Hall trial wavefunctions. Such wavefunctions reveal a structure. This suggests the equivalence of (a subclass of) the models and the ones. This is demonstrated here for r = 3 (the Gaffnian series). The agreement of the parafermionic and the spectra relies on the prior determination of the field identifications in the parafermionic case.