Parafermionic derivation of Andrews-type multiple sums

Details Parafermionic derivation of Andrews-type multiple sums Parafermionic derivation of Andrews-type multiple sums

2005-05-11

arxiv.org/abs/hep-th/0505097v1

J.Phys. A38 (2005) 8225-8238

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/0305-4470/38/38/004

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.

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