Parafermionic Representation of the Affine sl(2/1) Algebra at Fractional Level
P. Bowcock, M. Hayes, A. Taormina
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 Zu-1.
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