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Algebraic structures on quasi-primary states in superconformal algebras

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arxiv math/0003012 v2 pith:Y6I654JG submitted 2000-03-02 math.QA

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keywords algebraicalgebrasconformalgivenlistquasi-primarysimplesuperconformal
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The algebraic structure on the subspace of the quasi-primary vectors given by the projection of the (n) products of a conformal superalgebra is formulated. As an application the complete list of simple physical conformal superalgebras is given. The list contains a one-parameter family of superconformal algebras with 4 supercharges that is simple for general values.

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