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Conformally coupled supermultiplets in four and five dimensions. (English) Zbl 1226.81261

Summary: We obtain by superfield methods the exceptional representations of the \(OSp(2N/4,\mathbb{R})\) and \(SU(2,2/1)\) superalgebras which extend to supersingletons of \(SU(2,2/2N)\) and \(F(4)\), respectively. These representations describe superconformally coupled multiplets and appear in three- and four-dimensional superconformal field theories which are holographic descriptions of certain anti-de Sitter supergravities.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
83E50 Supergravity
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

References:

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