Published September 23, 2005 | Version v1
Journal article

Parafermionic derivation of Andrews-type multiple sums

  • 1. Departement de Physique, Universite Laval, Quebec, G1K 7P4 (Canada)
  • 2. Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE (United Kingdom)

Description

A multi-parafermion basis of states for the Zk parafermionic models is derived. Its generating function is constructed by elementary steps. It corresponds to the Andrews multiple sum which enumerates partitions whose parts separated by the distance k - 1 differ by at least 2. Two analogous bases are derived for graded parafermions; one of these entails a new expression for their fermionic characters

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/38/8225/a5_38_004.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
38
Journal Issue
38
Journal Page Range
p. 8225-8238
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36098700
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DISTANCE; ENERGY LEVELS; FERMIONS; PARTICLE MODELS; PARTITION FUNCTIONS
Descriptors DEC
FUNCTIONS; MATHEMATICAL MODELS