Non-abelian Exclusion Statistics

Details Non-abelian Exclusion Statistics Non-abelian Exclusion Statistics

1999-03-02

arxiv.org/abs/cond-mat/9903045v1

Nucl.Phys. B556 (1999) 530-544

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 18 pages

Scientific paper

10.1016/S0550-3213(99)00358-2

We introduce the notion of `order-$k$ non-abelian exclusion statistics'. We derive the associated thermodynamic equations by employing the Thermodynamic Bethe Ansatz for specific non-diagonal scattering matrices. We make contact with results obtained by different methods and we point out connections with `fermionic sum formulas' for characters in a Conformal Field Theory. As an application, we derive thermodynamic distribution functions for quasi-holes over a class of non-abelian quantum Hall states recently proposed by Read and Rezayi.

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