New bosonic hard string scattering amplitudes and extended Gross conjecture in superstring theory

TL;DR

This paper discovers new high-energy scattering amplitudes in superstring theory, demonstrating proportional relationships among them and supporting Gross's conjecture on string symmetries at high energies.

Contribution

It introduces new hard string scattering amplitudes with orthogonal polarizations in superstring theory and confirms their proportionality, extending the understanding of high-energy symmetries.

Findings

New HSSA with orthogonal polarizations discovered

Ratios among HSSA calculated to support Gross conjecture

Total HSSA count matches with fermion string scattering amplitudes

Abstract

We discover new hard string scattering amplitudes (HSSA) with polarizations orthogonal to the scattering plane in the NS sector of 10D open superstring theory. The corresponding HSSA in the bosonic string theory are of subleading order in energy. In addition, all HSSA are found to be proportional to each other and the ratios among these HSSA are calculated to justify Gross conjecture in 1988 on high energy symmetry of string theory. Moreover, together with these new HSSA, the total number of HSSA calculated in the first massive level of NS sector are found to agree with those of hard polarized fermion string scattering amplitudes (PFSSA) in the R sector calculated recently.