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Parafermionic derivation of Andrews-type multiple sums

Jacob, Patrick; Mathieu, Pierre

Authors

Patrick Jacob

Pierre Mathieu



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.

Citation

Jacob, P., & Mathieu, P. (2005). Parafermionic derivation of Andrews-type multiple sums. Journal of Physics A: Mathematical and General, 38(38), 8225-8238. https://doi.org/10.1088/0305-4470/38/38/004

Journal Article Type Article
Publication Date 2005-09
Deposit Date Feb 29, 2008
Journal Journal of Physics A: Mathematical and General
Print ISSN 0305-4470
Electronic ISSN 1361-6447
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 38
Issue 38
Pages 8225-8238
DOI https://doi.org/10.1088/0305-4470/38/38/004




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