Parafermionic Representation of the Affine $sl(2/1)$ Algebra at Fractional Level

Abstract

The four fermionic currents of the affine superalgebra $sl(2/1)$ at fractional level $k=1/u-1$, u positive integer, are shown to be realised in terms of a free scalar field, an $sl(2)$ doublet field and a primary field of the parafermionic algebra $Z_{u-1}$.

arXiv comment5 pages, Latex 2e

References in corpus (6)

• Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras
• Representation theory of the affine Lie superalgebra sl(2|1) at fractional level
• Characters of admissible representations of the affine superalgebra sl(2|1)
• Modules Over Affine Lie Superalgebras
• New Jacobi-Like Identities for Z_k Parafermion Characters
• Admissible sl(2/1) Characters and Parafermions

Cited by in corpus (1)

• FZZ-triality and large $\mathcal{N}=4$ super Liouville theory