Consistency of Super-Poincare Covariant Superstring Tree Amplitudes

TL;DR

This paper proves the cyclic symmetry of a superstring scattering amplitude prescription using pure spinors and shows its agreement with the standard method for certain massless states, advancing covariant superstring quantization.

Contribution

It establishes the cyclic symmetry of the pure spinor superstring amplitude prescription and confirms its consistency with the RNS approach for specific massless states.

Findings

The prescription is cyclically symmetric.

It agrees with RNS for massless bosons and up to four fermions.

Supports covariant superstring amplitude calculations.

Abstract

Using pure spinors, the superstring was recently quantized in a manifestly ten-dimensional super-Poincar\'e covariant manner and a covariant prescription was given for tree-level scattering amplitudes. In this paper, we prove that this prescription is cyclically symmetric and, for the scattering of an arbitrary number of massless bosons and up to four massless fermions, it agrees with the standard Ramond-Neveu-Schwarz prescription.