Parafermionic derivation of Andrews-type multiple sums

Jacob, Patrick; Mathieu, Pierre

Abstract

A multi-parafermion basis of states for the Z_k 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.

Citation

Jacob, P., & Mathieu, P. (2005). Parafermionic derivation of Andrews-type multiple sums. Journal of Physics A: Mathematical and General, 38(38), 8225-8238. https://doi.org/10.1088/0305-4470/38/38/004

• Journal Article Type: Article
• Publication Date: 2005-09
• Deposit Date: Feb 29, 2008
• Journal: Journal of Physics A: Mathematical and General
• Print ISSN: 0305-4470
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 38
• Issue: 38
• Pages: 8225-8238
• DOI: https://doi.org/10.1088/0305-4470/38/38/004
• Public URL: https://durham-repository.worktribe.com/output/1579256