Admissible sl(2/1) Characters and Parafermions

Abstract

The branching functions of the affine superalgebra $sl(2/1)$ characters into characters of the affine subalgebra $sl(2)$ are calculated for fractional levels $k=1/u-1$, u positive integer. They involve rational torus $A_{u(u-1)}$ and $Z_{u-1}$ parafermion characters.

14 pages, Latex 2e

References in corpus (3)

• $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators
• Characters of admissible representations of the affine superalgebra sl(2|1)
• Virasoro character identities and Artin L-functions

Cited by in corpus (4)

• On the SU(2|1) WZW model and its statistical mechanics applications
• Resolutions and Characters of Irreducible Representations of the N=2 Superconformal Algebra
• Modular Transformations and Invariants in the Context of Fractional Level Affine sl(2|1;C)
• Parafermionic Representation of the Affine $sl(2/1)$ Algebra at Fractional Level