Parafermionic derivation of Andrews-type multiple sums

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.

16 pages

References in corpus (2)

• Filling the Bose sea: symmetric quantum Hall edge states and affine characters
• SM(2,4k) fermionic characters and restricted jagged partitions

Cited by in corpus (3)

• New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions
• Paths and partitions: combinatorial descriptions of the parafermionic states
• Paths for Z_k parafermionic models