Planckian Vertices on High Genus Riemann Surfaces

TL;DR

This paper introduces a method to compute high-energy superstring scattering amplitudes on high genus Riemann surfaces, validating it at one-loop level and discussing modular invariance of the results.

Contribution

The paper presents a novel computational approach for Planckian energies in superstring theory applicable to any genus, with validation at one-loop level.

Findings

Validated the method at one-loop level against previous results.

Discussed modular invariance of asymptotic terms.

Provided a framework for high-energy amplitude calculations.

Abstract

We suggest a method to compute leading contribution at Planckian energies for superstring scattering amplitudes of any genus. In particular we test the method at one-loop level by comparison with previous result for the Regge trajectory renormalization. Modular invariance of these asymptotic terms are also discussed.