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Parafermionic derivation of Andrews-type multiple sums.

Jacob, P. and Mathieu, P. (2005) 'Parafermionic derivation of Andrews-type multiple sums.', Journal of physics A : mathematical and general., 38 (38). pp. 8225-8238.


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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Record Created:29 Feb 2008
Last Modified:29 Apr 2009 14:43

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