Parafermionic derivation of Andrews-type multiple sums
P. Jacob, P. Mathieu
Abstract
A multi-parafermion basis of states for the Zk 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.
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