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A construction of N = 2 and centerless N = 4 superconformal fields via affine superalgebras
Authors:Minoru Wakimoto
Affiliation:

Graduate School of Mathematics, Kyushu University, Fukuoka 812-81, Japan

Abstract:In this paper we give a new construction of the N = 2 superconformal algebra using currents of the affine superalgebra and free bosonic fields, and also the N = 4 supercomformal algebra without central charge in terms of currents of and free bosonic fields.
Keywords:Affine superalgebra   Superconformal algebra   Vertex algebra   Borcherds-Jacobi identity
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