The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism

TL;DR

This paper calculates the five-point amplitude for massless open superstrings using the non-minimal pure spinor formalism, providing a supersymmetric kinematic factor that extends four-point results and confirms their equivalence.

Contribution

It introduces a simplified superspace kinematic factor for five-point amplitudes in open superstrings using the non-minimal pure spinor formalism, extending four-point amplitude results.

Findings

Derived a simple supersymmetric kinematic factor for five-point amplitudes.

Proved the equivalence of supersymmetric and bosonic amplitude components.

Demonstrated computation of fermionic state structures.

Abstract

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic factor of the massless four-point amplitude. It encodes bosonic and fermionic external states in supersymmetric form and reduces to existing bosonic amplitudes when expanded in components, therefore proving their equivalence. We also show how to compute the kinematic structures involving fermionic states.