Integrated Massive Vertex Operator in Pure Spinor Formalism

TL;DR

This paper constructs the integrated vertex operator for first massive open superstring states within the pure spinor formalism, linking superfields to describe the massive supermultiplet.

Contribution

It introduces a novel integrated vertex operator formulation for massive states in pure spinor superstring theory, expanding the formalism's applicability.

Findings

First explicit construction of massive vertex operator in pure spinor formalism

Expressed in terms of ten-dimensional superfields

Links unintegrated and integrated vertex operators for massive states

Abstract

We construct the integrated vertex operator for the first massive states of open superstrings with $(mass)^2=1/\alpha'$ in the pure spinor formalism of the superstring theory. This vertex operator is expressed in terms of the ten dimensional $\mathcal{N}=1$ superfields describing the massive supermultiplet which appear in the unintegrated vertex operator of the same states.