K-matrices for non-abelian quantum Hall states

Abstract

Two fundamental aspects of so-called non-abelian quantum Hall states (the q-pfaffian states and more general) are a (generalized) pairing of the participating electrons and the non-abelian statistics of the quasi-hole excitations. In this paper, we show that these two aspects are linked by a duality relation, which can be made manifest by considering the K-matrices that describe the exclusion statistics of the fundamental excitations in these systems.

LaTeX, 12 pages

References in corpus (12)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological orders and Edge excitations in FQH states
• 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
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Landau-Ginzburg Theories for Non-Abelian Quantum Hall States
• Haldane's Fractional Exclusion Statistics for Multicomponent Systems
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
• Exclusion statistics for non-abelian quantum Hall states
• Non-abelian Exclusion Statistics
• The universal chiral partition function for exclusion statistics
• Exclusion statistics in conformal field theory and the UCPF for WZW models

Cited by in corpus (12)

• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Density-curvature response and gravitational anomaly
• Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Separation of spin and charge in paired spin-singlet quantum Hall states
• Parafermion statistics and the application to non-abelian quantum Hall states
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Effective Chern-Simons Theories of Pfaffian and Parafermionic Quantum Hall States, and Orbifold Conformal Field Theories
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• K-matrices for 2D conformal field theories
• Multipartitions, Generalized Durfee Squares and Affine Lie Algebra Characters