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

Physics – High Energy Physics – High Energy Physics - Theory

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5 pages, Latex 2e

Scientific paper

10.1016/S0370-2693(99)01251-4

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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