Spin Field Correlators on An Arbitrary Genus Riemann Surface and Non-Renormalization Theorems in String Theories*

Abstract

We calculate the n-point correlation functions of spin fields on an arbitrary genus Riemann surface. We also calculate the corresponding correlators for the spin fields associated with the local supersymmetry ghosts using a specific ansatz for screening the background ghost charge. Using these results we show by explicit calculation that to all orders in the string perturbation theory all n point amplitudes involving massless fields in the superstring and the heterotic string theory vanish identically for 0 5 n 5 3.

Cite this paper

@inproceedings{Atick1986SpinFC, title={Spin Field Correlators on An Arbitrary Genus Riemann Surface and Non-Renormalization Theorems in String Theories*}, author={Joseph J. Atick}, year={1986} }