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Primary fields and screening currents of gl(2|2) non-unitary conformal field theory

Yao-Zhong Zhang·Xin Liu·Wen-Li Yang
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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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Yao-Zhong Zhang, Xin Liu, Wen-Li Yang. 2004-10-12. Primary fields and screening currents of gl(2|2) non-unitary conformal field theory. https://doi.org/10.1016/j.nuclphysb.2004.10.011

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