Outputs (4)

Paths for Z_k parafermionic models (2007)
Journal Article
Jacob, P., & Mathieu, P. (2007). Paths for Z_k parafermionic models. Letters in Mathematical Physics, 81(3), 211-226. https://doi.org/10.1007/s11005-007-0182-y

We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and... Read More about Paths for Z_k parafermionic models.

The Z_k^(su(2),3/2) Parafermions (2005)
Journal Article
Jacob, P., & Mathieu, P. (2005). The Z_k^(su(2),3/2) Parafermions. Physics Letters B, 627(1-4), 224-232. https://doi.org/10.1016/j.physletb.2005.09.006

We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3(1-1/k)/2, with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of t... Read More about The Z_k^(su(2),3/2) Parafermions.

Parafermionic derivation of Andrews-type multiple sums (2005)
Journal Article
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

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... Read More about Parafermionic derivation of Andrews-type multiple sums.

Generating function for K-restricted jagged partitions (2005)
Journal Article
Fortin, J., Jacob, P., & Mathieu, P. (2005). Generating function for K-restricted jagged partitions. Electronic Journal of Combinatorics, 12,

We present a natural extension of Andrews' multiple sums counting partitions of the form (λ1,⋯,λm) with λi≥λi+k−1+2. The multiple sum that we construct is the generating function for the so-called K-restricted jagged partitions. A jagged partition is... Read More about Generating function for K-restricted jagged partitions.