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Non-abelian Exclusion Statistics

Sathya Guruswamy·Kareljan Schoutens
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Abstract

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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Sathya Guruswamy, Kareljan Schoutens. 1999-03-02. Non-abelian Exclusion Statistics. https://doi.org/10.1016/s0550-3213(99)00358-2

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