We classify the finite irreducible modules over the conformal superalgebra K ′ 4 by their correspondence with finite conformal modules over the associated annihilation superalgebra A(K ′ 4 ). This is achieved by a complete classification of singular vectors in generalized Verma modules for A(K ′ 4 ). We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes.

We classify finite irreducible modules over the conformal superalgebra [Formula: see text] by their correspondence with finite conformal modules over the associated annihilation superalgebra [Formula: see text]. This is achieved by a complete classification of singular vectors in generalized Verma modules for [Formula: see text]. We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes.

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