Stirling number Identities and High energy String Scatterings

TL;DR

This paper connects high energy string scattering amplitudes with Stirling number identities, revealing algebraic structures and bridging string theory with combinatorial number theory.

Contribution

It introduces a novel approach using Stirling number identities to analyze high energy string scattering amplitudes, linking them to the Kummer function of the second kind.

Findings

Ratios among high energy string scattering amplitudes can be derived from Stirling number identities.

The Kummer function of the second kind plays a key role in understanding these ratios.

The work uncovers a new algebraic structure underlying high energy string symmetries.

Abstract

We use Stirling number identities developed recently in number theory to show that ratios among high energy string scattering amplitudes in the fixed angle regime can be extracted from the Kummer function of the second kind. This result not only brings an interesting bridge between string theory and combinatoric number theory but also sheds light on the understanding of algebraic structure of high energy stringy symmetry.