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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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2025 1

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Scale separation on AdS$_3\times S^3$ with and without supersymmetry

hep-th · 2025-04-16 · conditional · novelty 7.0

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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  • Scale separation on AdS$_3\times S^3$ with and without supersymmetry hep-th · 2025-04-16 · conditional · none · ref 37 · internal anchor

    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.