Vertex operators for the plane wave pure spinor string

TL;DR

This paper constructs explicit vertex operators for massless states in the pure spinor superstring on a plane wave background, simplifying the action by dividing it into two parts based on a smaller coset.

Contribution

It provides a novel explicit construction of vertex operators in a plane wave background within the pure spinor formalism, leveraging a simplified action structure.

Findings

Explicit vertex operators for massless states are derived.

The action is decomposed into two parts, facilitating the construction.

The approach simplifies calculations in the pure spinor superstring in plane wave backgrounds.

Abstract

In this work we give an explicit construction for the vertex operators of massless states in the pure spinor superstring in a plane wave background. The construction is based on the observation that the full action can be divided in two parts, where the simpler one is based on a smaller coset and closely resembles the gauge fixed Green-Schwarz action.