1997/06/17 by Kareljan Schoutens, K. Schoutens · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Distribution (mathematics) #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum field theory #Quantum mechanics #Spectral line #Statistical physics #Statistics #Theoretical physics #cond-mat.mes-hall #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physrevlett.79.2608
published as Phys.Rev.Lett.79:2608-2611,1997 · 4 pages, 1 figure, LaTeX (uses revtex)
arxiv created 1997/06/17 · openalex publication_date 1997/10/06 · arxiv updated 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a new method for investigating the exclusion statistics of quasiparticles in conformal field theory (CFT) spectra. The method leads to one-particle distribution functions, which generalize the Fermi-Dirac distribution. For the simplest SU(n) invariant CFTs we find a generalization of Gentile parafermions, and we obtain new distributions for the simplest ZN-invariant CFTs. In special examples, our approach reproduces distributions based on ``fractional exclusion statistics'' in the sense of Haldane. We comment on applications to fractional quantum Hall effect edge theories.