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

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

2004-10-12

arxiv.org/abs/hep-th/0410127v1

Nucl.Phys. B704 (2005) 510-526

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 16 pages, to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2004.10.011

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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