Classification of finite irreducible conformal modules for K4′

Abstract

We classify finite irreducible modules over the conformal superalgebra K4′ by their correspondence with finite conformal modules over the associated annihilation superalgebra A(K4′). This is achieved by a complete classification of singular vectors in generalized Verma modules for A(K4′). We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes.