SM(2,4k) fermionic characters and restricted jagged partitions

Details SM(2,4k) fermionic characters and restricted jagged partitions SM(2,4k) fermionic characters and restricted jagged partitions

2004-06-22

arxiv.org/abs/hep-th/0406194v2

J.Phys. A38 (2005) 1699-1710

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1088/0305-4470/38/8/007

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.

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