Vertex operator superalgebra structure for degenerate minimal models: Neveu-Schwarz algebra

2001/01/19 by Antun Milas, Milas, Antun
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #math.RT #msc:17B10 #msc:17B68 #msc:17B69

paper · pdf · doi:10.48550/arxiv.math/0101165

One reference added

arxiv created 2001/01/23 · arxiv updated 2009/11/30

Abstract

The ℤ/2ℤ--graded intertwining operators are introduced. We study these operators in the case of ``degenerate'' N=1 minimal models, with the central charge c=3/2. The corresponding fusion ring is isomorphic to the Grothendieck ring for the Lie superalgebra \mathfrak osp(1|2). We also discus multiplicity--2 fusion rules and logarithmic intertwiners.

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• Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, I
• Neveu-Schwarz and operators algebras I: Vertex operators superalgebras
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• Fusion rules and rigidity for weight modules over the simple admissible affine \mathfraksl(2) and N=2 superconformal vertex operator superalgebras