Paths for Z_k parafermionic models

Jacob, Patrick; Mathieu, Pierre

Abstract

We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and a parafermionic state in a quasi-particle basis.

Citation

Jacob, P., & Mathieu, P. (2007). Paths for Z_k parafermionic models. Letters in Mathematical Physics, 81(3), 211-226. https://doi.org/10.1007/s11005-007-0182-y

• Journal Article Type: Article
• Publication Date: Sep 1, 2007
• Deposit Date: Feb 15, 2008
• Journal: Letters in Mathematical Physics
• Print ISSN: 0377-9017
• Electronic ISSN: 1573-0530
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 81
• Issue: 3
• Pages: 211-226
• DOI: https://doi.org/10.1007/s11005-007-0182-y
• Keywords: lattice paths - RSOS models - parafermions - quasi-particles - fermionic characters
• Public URL: https://durham-repository.worktribe.com/output/1547995