Model of statistically coupled chiral fields on the circle

Starting from a field theoretical description of multicomponent anyons with mutual statistical interactions in the lowest Landau level, we construct a model of interacting chiral fields on the circle, with the energy spectrum characterized by a symmetric matrix gαβ with nonnegative entries. Being represented in a free form, the model provides a field theoretical realization of (ideal) fractional exclusion statistics for particles with linear dispersion, with gαβ as a statistics matrix. We derive the bosonized form of the model and discuss the relation to the effective low-energy description of the edge excitations for abelian fractional quantum Hall states in multilayer systems. Supported by the Norwegian Research Council. Address from 1 August 1996: Institute of Physics, University of Oslo, P.O. Box 1048 Blindern, N-0316 Oslo, Norway.