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Free-field realization of the exceptional current superalgebra \(\widehat {D(2, 1; \alpha )_k}\). (English) Zbl 1254.81071

Summary: The free-field representations of the \(D(2, 1; \alpha )\) current superalgebra and the corresponding energy-momentum tensor are constructed. The related screening currents of the first kind are also presented.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
17A70 Superalgebras