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

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

10.1016/j.physleta.2004.05.017

Representations of the superalgebra $osp(2|2)$ and current superalgebra $osp(2|2)^{(1)}_k$ 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 $osp(2|2)^{(1)}_k$ in the standard basis are constructed for arbitrary level $k$.

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