Algebraic structures on quasi-primary states in superconformal algebras (Q2483790)

The conformal superalgebra (vertex Lie algebra) is an axiomatic description of Lie superalgebra with operator product extension with respect to infinitely many operations. In the paper under review for the conformal superalgebra \(R\) the subspace of quasi-primary vectors is investigated. It is shown that one can reconstruct the entire conformal superalgebra from products on the space of quasi-primary vectors. Using this analysis author provides a list of the simple physical conformal superalgebras which involves a new class of such objects.