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

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.

arXiv comment9 pages,1 figure

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• Massive Superstring Scatterings in the Regge Regime
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• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• Regge Closed String Scattering and its Implication on Fixed angle Closed String Scattering
• High-Energy Symmetry of Bosonic Open String Theory in the Light-like Linear Dilaton Background
• High-energy String Scatterings of Compactified Open String
• Vertex Operators and Scattering Amplitudes of the Bosonic Open String Theory in the Linear Dilaton Background
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes
• String Scattering Amplitudes in High Energy Limits
• Power-law Behavior of High Energy String Scatterings in Compact Spaces