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

Citation
P. Bouwknegt et al., Exclusion statistics in conformal field theory and the UCPF for WZW models, NUCL PHYS B, 572(3), 2000, pp. 547-573
Citations number
107
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
572
Issue
3
Year of publication
2000
Pages
547 - 573
Database
ISI
SICI code
0550-3213(20000424)572:3<547:ESICFT>2.0.ZU;2-W
Abstract
In this paper we further elaborate on the notion of fractional exclusion st atistics, as introduced by Haldane, in two-dimensional conformal field theo ry, and its connection to the Universal Chiral Partition Function as define d by McCoy and collaborators. We will argue that in general, besides the ps eudo-particles introduced recently by Guruswamy and Schoutens, one needs ad ditional 'null quasi-particles' to account for the null-states in the quasi -particle Fock space. We illustrate this in several examples of WZW-models. (C) 2000 Elsevier Science B.V. All rights reserved.