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

Abstract

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

arXiv comment12 pages, cosmetic changes, to appear in Phys. Lett. A

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Cited by in corpus (2)

• A Unified and Complete Construction of All Finite Dimensional Irreducible Representations of gl(2|2)
• Primary fields and screening currents of gl(2|2) non-unitary conformal field theory