Exclusion statistics in conformal field theory and the UCPF for WZW models

1999/03/31 by Peter Bouwknegt, Leung Chim, David Ridout
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Conformal field theory #Conformal map #Connection (principal bundle) #Field (mathematics) #Fock space #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Statistics #cond-mat.stat-mech #hep-th #math.QA

paper · pdf · doi:10.1016/s0550-3213(99)00777-4

published as Nucl.Phys.B572:574-608,2000 · plain TeX, 31 pages; ref added

arxiv created 1999/04/01 · openalex publication_date 2000/04/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we further elaborate on the notion of fractional exclusion statistics, as introduced by Haldane, in two-dimensional conformal field theory, and its connection to the Universal Chiral Partition Function as defined by McCoy and collaborators. We will argue that in general, besides the pseudo-particles introduced recently by Guruswamy and Schoutens, one needs additional `null quasi-particles' to account for the null-states in the quasi-particle Fock space. We illustrate this in several examples of WZW-models.

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