Non-abelian Exclusion Statistics

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.

LaTeX, 18 pages

References in corpus (8)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• New Class of Non-Abelian Spin-Singlet Quantum Hall States
• Landau-Ginzburg Theories for Non-Abelian Quantum Hall States
• Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
• Exclusion statistics for non-abelian quantum Hall states
• Spinon statistics in integrable spin-S Heisenberg chains
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Cited by in corpus (15)

• Separation of spin and charge in paired spin-singlet quantum Hall states
• Parafermion statistics and the application to non-abelian quantum Hall states
• Condensation of an ideal gas obeying non-Abelian statistic
• K-matrices for non-abelian quantum Hall states
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Emergent Exclusion Statistics of Fibonacci Anyons in 2D Topological Phases
• Integrability in anyonic quantum spin chains via a composite height model
• Anyon exclusions statistics on surfaces with gapped boundaries
• K-matrices for 2D conformal field theories
• Thermodynamics of non-abelian exclusion statistics
• Noninvertible Gauge Symmetry in (2+1)d Topological Orders: A String-Net Model Realization
• Nonlinear Symmetry-Fragmentation of Nonabelian Anyons In Symmetry-Enriched Topological Phases: A String-Net Model Realization
• Local height probabilities in a composite Andrews-Baxter-Forrester model