Higher-spin generalization of fractional exclusion statistics

We study fractional exclusion statistics for SU(2) symmetric quantum systems of arbitrary spin S by generalizing the thermodynamic equations with squeezed strings proposed by Ha and Haldane. The bare hole distributions as well as the statistical interaction defined by an infinite-dimensional matrix specify the universality class. It is shown that the system is described by the level-2S SZW model and has a close relationship to non-abelian fractional quantum Hall states. From a low-energy effective theory of our higher-spin model, the sector of massless Z(2S) parafermions is extracted, whose statistical interaction is given by a finite-dimensional matrix.