Regularization of superstring amplitudes and a cancellation of divergences in superstring theory

TL;DR

This paper develops a supermodular invariant regularization method for divergent fermion superstring amplitudes, enabling finite calculations of superstring amplitudes across all genera using partition functions and superfield correlators.

Contribution

It introduces a novel regularization procedure invariant under the supermodular group for superstring amplitude calculations.

Findings

Superstring amplitudes are shown to be finite with the new regularization.

The method applies to arbitrary genus superstring calculations.

Discussion on the implications for superstring theory finiteness.

Abstract

For a calculation of divergent fermion string amplitudes a regularization procedure invariant under the supermodular group is constructed. By this procedure superstring amplitudes of an arbitrary genus are calculated using both partition functions and superfield vacuum correlators computed early. A finiteness of superstring amplitudes and related topics are discussed.