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

P. Bowcock; M. Hayes; A. Taormina

doi:10.1016/S0370-2693(99)01251-4

paper

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

arXiv:hep-th/9803024 · doi:10.1016/S0370-2693(99)01251-4

Abstract

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

5 pages, Latex 2e

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

Abstract

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