fermionic characters and restricted jagged partitions

2004/06/23 by J. -F. Fortin, J-F Fortin, P Jacob +3 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th #math.CO #math.QA

paper · pdf · doi:10.1088/0305-4470/38/8/007

published as J.Phys. A38 (2005) 1699-1710 · 12 pages

arxiv created 2004/06/23 · openalex publication_date 2005/02/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

A derivation of the basis of states for the superconformal minimal models is presented. It relies on a general hypothesis concerning the role of the null field of dimension 2κ − 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 (2κ − 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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