Finite dimensional vertex

TL;DR

This paper constructs explicit pure spinor vertex operators for finite-dimensional non-unitary representations in the spectrum of Type IIB supergravity on AdS5xS5, extending methods to infinite-dimensional cases.

Contribution

It provides a novel explicit construction of pure spinor vertex operators for finite-dimensional non-unitary representations in supergravity spectra.

Findings

Explicit vertex operators for finite-dimensional non-unitary reps

Extension of construction to infinite-dimensional, unitary reps

Framework applicable to broader classes of representations

Abstract

The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 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.