%0 Journal Article
%T SM(2,4k) fermionic characters and restricted jagged partitions
%A J. -F. Fortin
%A P. Jacob
%A P. Mathieu
%J Mathematics
%D 2004
%I arXiv
%R 10.1088/0305-4470/38/8/007
%X A derivation of the basis of states for the $SM(2,4k)$ superconformal minimal models is presented. It relies on a general hypothesis concerning the role of the null field of dimension $2k-1/2$. The basis is expressed solely in terms of $G_r$ modes and it takes the form of simple exclusion conditions (being thus a quasi-particle-type basis). Its elements are in correspondence with $(2k-1)$-restricted jagged partitions. The generating functions of the latter provide novel fermionic forms for the characters of the irreducible representations in both Ramond and Neveu-Schwarz sectors.
%U http://arxiv.org/abs/hep-th/0406194v2