Parafermionic Representation of the Affine sl(2/1) Algebra at Fractional Level
classification
✦ hep-th
keywords
fieldaffinealgebrafractionallevelparafermioniccurrentsdoublet
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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 $Z_{u-1}$.
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