Abstract

Representations of the superalgebra osp(2|2) and current superalgebra osp(2|2) (1) k in the standard basis are investigated. All finite-dimensional typical and atypical representations of osp(2|2) are constructed by the vector coherent state method. Primary fields of the non-unitary conformal field theory associated with osp(2|2) (1) k in the standard basis are obtained for arbitrary level k.

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