Patrick Jacob
Paths for Z_k parafermionic models
Jacob, Patrick; Mathieu, Pierre
Authors
Pierre Mathieu
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 |
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