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

J. -F. Fortin; P. Jacob; P. Mathieu

doi:10.1088/0305-4470/38/8/007

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arXiv · hep-th/0406194

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

J. -F. Fortin·P. Jacob·P. Mathieu

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Abstract

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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J. -F. Fortin, P. Jacob, P. Mathieu. 2004-06-23. SM(2,4k) fermionic characters and restricted jagged partitions. https://doi.org/10.1088/0305-4470%2F38%2F8%2F007

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