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Quantum Reduction and Representation Theory of Superconformal Algebras

Victor Kac, Minoru Wakimoto

math-pharXiv:math-ph/0304011

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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