Three particle superstring amplitudes with massive legs

Abstract

On-shell superspaces and associated spinor helicity techniques give an efficient formulation of the Ward identities of on-shell supersymmetry for scattering amplitudes and supply tools to construct their solutions. Based on these techniques in this paper the general solutions of the Ward identities are presented for three particle scattering amplitudes with one, two or three massive legs for simple supersymmetry in ten and eight dimensions. It is shown in examples how these solutions may be used to obtain concrete amplitudes for the closed (IIB) and open superstring in a flat background. Explicit results include all three point amplitudes with one massive leg whose functional form is shown to be dictated completely by super-Poincare symmetry. The resulting surprisingly simple series only involves massive superfields labelled by completely symmetric little group representations. The extension to more general explicit three and higher point amplitudes in string theory is initiated. In appendices the field content of the fundamental massive superfields of the open and closed superstring are listed in terms of the Dynkin labels of a variety of groups which may be of independent interest.

45 pages. v2: typos corrected, references added

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Cited by in corpus (14)

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• Chaotic scattering of highly excited strings
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• Classical Limit of Higher-Spin String Amplitudes
• DDF operators, open string coherent states and their scattering amplitudes
• Maximal R-symmetry violating amplitudes in type IIB superstring theory
• Computing Three-Point Functions for Short Operators
• A minimal approach to the scattering of physical massless bosons
• Massive Supermultiplets in Four-Dimensional Superstring Theory
• String theory in target space
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Five-point partial waves, splitting constraints and hidden zeros