Algebraic structures on quasi-primary states in superconformal algebras

Mathematics – Quantum Algebra

Scientific paper

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22 pages; errors corrected, terminology slightly revised, remarks added

Scientific paper

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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