Abstract
The non-semisimple gl ( 2 | 2 ) k current superalgebra in the standard basis and the corresponding non-unitary conformal field theory are investigated. Infinite families of primary fields corresponding to all finite-dimensional irreducible typical and atypical representations of gl ( 2 | 2 ) and three (two even and one odd) screening currents of the first kind are constructed explicitly in terms of ten free fields.
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