Higher Loop Spin Field Correlators in D=4 Superstring Theory

TL;DR

This paper develops new calculational tools for computing higher loop superstring correlators involving fermionic and spin fields in four-dimensional spacetime, essential for loop amplitude calculations in superstring theories.

Contribution

It introduces methods to express fermionic and spin field correlators in Lorentz covariant form using SO(1,3) tensors, advancing superstring amplitude computations.

Findings

Derived explicit expressions for higher loop correlators

Expressed correlators in Lorentz covariant form

Facilitated calculations of superstring loop amplitudes

Abstract

We develop calculational tools to determine higher loop superstring correlators involving massless fermionic and spin fields in four space time dimensions. These correlation functions are basic ingredients for the calculation of loop amplitudes involving both bosons and fermions in D=4 heterotic and superstring theories. To obtain the full amplitudes in Lorentz covariant form the loop correlators of fermionic and spin fields have to be expressed in terms of SO(1,3) tensors. This is one of the main achievements in this work.