Finite dimensional vertex

Abstract

The spectrum of linearized excitations of the Type IIB SUGRA on AdS 5 × S 5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to infinite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.