Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane

TL;DR

This paper derives linear relations among high energy absorption amplitudes of closed strings by D-branes, revealing exponential fall-off behavior and consistent ratios across different string states at fixed mass levels.

Contribution

It introduces a novel analysis of high energy absorption amplitudes of closed strings by D-branes, establishing linear relations and exponential decay patterns.

Findings

High energy amplitudes exhibit exponential fall-off.

Linear relations among amplitudes are derived.

Ratios among different string state absorptions are consistent.

Abstract

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains only one kinematic variable. However, in contrast to the power-law behavior of Domain-wall scattering, its form factor behaves as exponential fall-off in the high energy limit. After identifying the geometric parameter of the kinematic, we derive the linear relations (of the kinematic variable) and ratios among the high energy amplitudes corresponding to absorption of different closed string states for each fixed mass level by D-brane. This result is consistent with the coexistence of the linear relations and exponential fall-off behavior of high energy string/D-brane amplitudes.