English

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

High Energy Physics - Theory 2009-11-10 v1

Abstract

The non-semisimple gl(22)kgl(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(22)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.

Keywords

Cite

@article{arxiv.hep-th/0410127,
  title  = {Primary fields and screening currents of gl(2|2) non-unitary conformal field theory},
  author = {Yao-Zhong Zhang and Xin Liu and Wen-Li Yang},
  journal= {arXiv preprint arXiv:hep-th/0410127},
  year   = {2009}
}

Comments

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