Quantum reduction and representation theory of superconformal algebras |
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Authors: | Victor G. Kac Minoru Wakimoto |
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Affiliation: | a Department of Mathematics, 2-178, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA b Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581, Japan |
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Abstract: | We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way free field realizations and determinant formulas for all superconformal algebras. |
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