Modular Transformations and Invariants in the Context of Fractional Level Affine sl(2|1;C)

Abstract

The modular transformation properties of admissible characters of the affine superalgebra sl(2|1;C) at fractional level k=1/u-1, u=2,3,... are presented. All modular invariants for u=2 and u=3 are calculated explicitly and an A-series and D-series of modular invariants emerge.

LaTeX, 24 pages, clarification of invariants found, to appear in Nuclear Physics B

References in corpus (4)

• Characters of admissible representations of the affine superalgebra sl(2|1)
• Fusion rules and singular vectors of the osp(1|2) current algebra
• A note on decoupling conditions for generic level $\widehat{sl}(3{)}_k$ and fusion rules
• Admissible sl(2/1) Characters and Parafermions

Cited by in corpus (4)

• Higher-Level Appell Functions, Modular Transformations, and Characters
• Cosets, characters and fusion for admissible-level $\mathfrak{osp}(1|2)$ minimal models
• An admissible level $\widehat{\mathfrak{osp}}\left(1|2\right)$-model: modular transformations and the Verlinde formula
• Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras