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- W2024558268 abstract "Abstract We relate the manifold of periodic functions on a circle with values in the Grassmann algebra to extended superconformal algebras. The graded Poisson brackets of these functions give the classical realization of the corresponding superconformal algebras and determine the hamiltonian structure for a class of integrable nonlinear equations. A super-generalization of the Korteweg-de Vries equation is found among these equations. In this way an important step in the program of the quantization of the Liouville equation is realized for the supersymmetric cases which are crucial in constructing a consistent quantum string theory. The construction of Miura transformations is outlined and the results for the N = 1,2 supersymmetric cases are presented." @default.
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- W2024558268 date "1987-01-01" @default.
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- W2024558268 title "Superconformal algebras and their relation to integrable nonlinear systems" @default.
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- W2024558268 doi "https://doi.org/10.1016/0370-2693(87)90432-1" @default.
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