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 |