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arXiv · hep-th/9605157

Model of statistically coupled chiral fields on the circle

Serguei B. Isakov·Susanne Viefers
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Abstract

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 $g_{αβ}$ 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 $g_{αβ}$ 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.

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Serguei B. Isakov, Susanne Viefers. 1997-05-29. Model of statistically coupled chiral fields on the circle. https://doi.org/10.1142/s0217751x97001195

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