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.
Publié le : 2005-05-11
Classification:
High Energy Physics - Theory,
Mathematical Physics,
Mathematics - Combinatorics,
Mathematics - Quantum Algebra
@article{0505097,
author = {Jacob, P. and Mathieu, P.},
title = {Parafermionic derivation of Andrews-type multiple sums},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0505097}
}
Jacob, P.; Mathieu, P. Parafermionic derivation of Andrews-type multiple sums. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505097/