Parafermionic derivation of Andrews-type multiple sums
High Energy Physics - Theory
2009-11-11 v1 Mathematical Physics
Combinatorics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0505097,
title = {Parafermionic derivation of Andrews-type multiple sums},
author = {P. Jacob and P. Mathieu},
journal= {arXiv preprint arXiv:hep-th/0505097},
year = {2009}
}
Comments
16 pages