Characters of admissible representations of the affine superalgebra sl(2|1)

Abstract

We calculate characters and supercharacters for irreducible, admissible representations of the affine superalgebra sl(2|1) in both the Ramond and Neveu-Schwarz sectors and discuss their modular properties in the special case of level k=-1/2. We also show that the non-degenerate integrable characters coincide with some N=4 superconformal characters.

arXiv comment29 pages, Latex file

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• Higher-Level Appell Functions, Modular Transformations, and Characters
• Resolutions and Characters of Irreducible Representations of the N=2 Superconformal Algebra
• The embedding structure of unitary N=2 minimal models
• Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras
• An admissible level $\widehat{\mathfrak{osp}}\left(1|2\right)$-model: modular transformations and the Verlinde formula
• Modular invariant representations of the $\mathcal{N}=2$ superconformal algebra
• Admissible sl(2/1) Characters and Parafermions
• Modular Transformations and Invariants in the Context of Fractional Level Affine sl(2|1;C)
• The Mock Modular Data of a Family of Superalgebras
• Parafermionic Representation of the Affine $sl(2/1)$ Algebra at Fractional Level