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.

arXiv comment19 pages, no figure. v2:some minor corrections, refs added. v3:minor changes and final in Nucl.Phys.B

References in corpus (20)

• Superstring Scattering from D-Branes
• The Size of p-Branes
• Stringy Symmetries and Their High-energy Limits
• Zero-norm states and High-energy Symmetries of String Theory
• Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
• Ward Identities and High-energy Scattering Amplitudes in String Theory
• High-energy zero-norm states and symmetries of string theory
• Discrete Gauge States and$w_{\infty }$ Charges in c=1 2d Gravity
• D-brane form factors at high energy
• Anatomy of Zero-norm States in String Theory
• Decoupling of Degenerate Positive-norm States in Witten's String Field Theory
• High Energy Scattering Amplitudes of Superstring Theory
• Scattering of Closed String States from a Quantized D-Particle
• Notes on High Energy Limit of Bosonic Closed String Scattering Amplitudes
• Spontaneously broken symmetry in string theory
• SO(2,C) Invariant Discrete Gauge States in Liouville Gravity Coupled to Minimal Conformal Matter
• Comments on the high energy limit of bosonic open string theory
• Heterotic massive Einstein-Yang-Mills-type symmetry and Ward identity
• High Energy Scattering on Distant Branes
• Linear relations among 4-point functions in the high energy limit of string theory

Cited by in corpus (18)

• String Lessons for Higher-Spin Interactions
• Classical Limit of Higher-Spin String Amplitudes
• DDF operators, open string coherent states and their scattering 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
• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• Summing planar diagrams
• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings
• High-energy Massive String Scatterings from Orientifold Planes
• High-energy String Scatterings of Compactified Open String
• Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations
• High-Energy Symmetry of Bosonic Open String Theory in the Light-like Linear Dilaton Background
• 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
• Power-law Behavior of High Energy String Scatterings in Compact Spaces
• String Scattering Amplitudes in High Energy Limits