Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies

Abstract

We study scatterings of bosonic massive closed string states at arbitrary mass levels from D-brane. We discover that all the scattering amplitudes can be expressed in terms of the generalized hypergeometric function with special arguments, which terminates to a finite sum and, as a result, the whole scattering amplitudes consistently reduce to the usual beta function. For the simple case of D-particle, we explicitly calculate high-energy limits of a series of the above scattering amplitudes for arbitrary mass levels, and derive infinite linear relations among them for each fixed mass level. The ratios of these high-energy scattering amplitudes are found to be consistent with the decoupling of high-energy zero-norm states of our previous works.

19 pages, no figure. v2:some minor corrections, refs added. v3:minor changes and final in Nucl.Phys.B

References in corpus (2)

• Notes on High Energy Limit of Bosonic Closed String Scattering Amplitudes
• Linear relations among 4-point functions in the high energy limit of string theory

Cited by in corpus (10)

• Classical Limit of Higher-Spin String Amplitudes
• Linear Relations and their Breakdown in High Energy Massive String Scatterings in Compact Spaces
• Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
• Summing planar diagrams
• High-energy Massive String Scatterings from Orientifold Planes
• Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations
• Vertex Operators and Scattering Amplitudes of the Bosonic Open String Theory in the Linear Dilaton Background
• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• Power-law Behavior of High Energy String Scatterings in Compact Spaces