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Coherent State Construction of Representations of osp(2|2) and Primary Fields of osp(2|2) Conformal Field Theory
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abstract
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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Scale separation on AdS$_3\times S^3$ with and without supersymmetry
The complete Kaluza-Klein spectrum of six-dimensional Salam-Sezgin supergravity on AdS3 times a squashed three-sphere is computed; in the large-squashing limit, all but a small set of low-energy fields acquire infinite mass.
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