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

Yao-Zhong Zhang; Xin Liu; Wen-Li Yang

doi:10.1016/j.nuclphysb.2004.10.011

paper

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

arXiv:hep-th/0410127 · doi:10.1016/j.nuclphysb.2004.10.011

Abstract

The non-semisimple $g l (2∣2)_{k}$ 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 $g l (2∣2)$ and three (two even and one odd) screening currents of the first kind are constructed explicitly in terms of ten free fields.

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