Paths for Z_k parafermionic models
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
Combinatorics
math.MP
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.
Cite
@article{arxiv.hep-th/0703010,
title = {Paths for Z_k parafermionic models},
author = {P. Jacob and P. Mathieu},
journal= {arXiv preprint arXiv:hep-th/0703010},
year = {2008}
}
Comments
17 pages- minor corrections plus a concluding remark