Coherent State Construction of Representations of osp(2|2) and Primary Fields of osp(2|2) Conformal Field Theory

Yao-Zhong Zhang

doi:10.1016/j.physleta.2004.05.017

paper

Coherent State Construction of Representations of osp(2|2) and Primary Fields of osp(2|2) Conformal Field Theory

arXiv:hep-th/0312024 · doi:10.1016/j.physleta.2004.05.017

Abstract

Representations of the superalgebra $os p (2∣2)$ and current superalgebra $os p (2∣2)_{k}^{(1)}$ in the standard basis are investigated. All finite-dimensional typical and atypical representations of $os p (2∣2)$ are constructed by the vector coherent state method. Primary fields of the non-unitary conformal field theory associated with $os p (2∣2)_{k}^{(1)}$ in the standard basis are constructed for arbitrary level $k$ .

12 pages, cosmetic changes, to appear in Phys. Lett. A