Higher Point Spin Field Correlators in D=4 Superstring Theory

TL;DR

This paper introduces calculational tools for determining tree-level scattering amplitudes involving bosons and fermions in four-dimensional superstring theories, focusing on higher-point correlators of massless spin fields.

Contribution

It provides a simplified method to compute higher-point superstring correlators involving massless fermionic and spin fields in D=4, crucial for multi-fermion amplitude calculations.

Findings

Derived explicit formulas for higher-point correlators of massless spin fields.

Simplified the computation of multi-fermion superstring amplitudes in D=4.

Connected correlators to fermionic couplings in the effective action.

Abstract

Calculational tools are provided allowing to determine general tree-level scattering amplitudes for processes involving bosons and fermions in heterotic and superstring theories in four space-time dimensions. We compute higher-point superstring correlators involving massless four-dimensional fermionic and spin fields. In D=4 these correlators boil down to a product of two pure spin field correlators of left- and right-handed spin fields. This observation greatly simplifies the computation of such correlators. The latter are basic ingredients to compute multi-fermion superstring amplitudes in D=4. Their underlying fermionic structure and the fermionic couplings in the effective action are determined by these correlators.